Quantum physics Books

Book SynopsisProviding a core text in quantum mechanics for students of physics at the undergraduate level, this text gives a comprehensive introduction to key principles and full and detailed explanations to help students of average mathematical ability.Table of ContentsPreface.1. The origins of quantum theory.2. The wave function and the uncertainty principle.3. The Schrodinger equation.4. One-dimensional examples.5. The formalism of quantum mechanics.6. Angular momentum.7. The Schrodinger equation in three dimensions.8. Approximation methods for stationary problems.9. Approximation methods for time-dependent problems.10. Several- and many-particle systems.11. The interaction of quantum systems with radiation.12. The interaction of quantum systems with external electric and magnetic fields.13. Quantum collision theory.14. Quantum statistics.15. Relativistic quantum mechanics.16. Further applications of quantum mechanics.17. Measurement and interpretation.Appendix A - Fourier integrals and the Dirac delta function.Appendix B - WKB connection formulae.References.Table of fundamental constants.Table of conversion factors.Index.

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Book SynopsisThis modern text describes the exciting developments in many-particle quantum entanglement in matter. Its unified and pedagogical treatment of the topic makes it ideal for graduate students and researchers working in condensed matter physics, particle physics, and mathematical physics.Trade Review'A visionary, provocative, and thoughtful text: Sachdev's narrative ties his intellectual motivation to a set of striking emergent phenomena observed in experiments on well-characterized quantum materials and devices. It explores modern topics from a systematic and unified perspective based on effective field theories. The derivations give plenty of intuitive guidance to make the physical meaning of each transformation transparent for student or expert. The author covers a broad swath of the intellectual framework that underlies many of the most interesting contemporary developments in condensed matter theory.' Steven Kivelson, Stanford University'Quantum Phases of Matter is a rich topic with important experimental and even technological implications. Subir Sachdev is one of the leading researchers in this field. His book gives a self-contained, pedagogical exposition of many of the exciting developments in that area. Sachdev's unmatched deep insight, his comprehensive understanding of the subject, and his clear presentation skills make this book a must-read textbook for students and an extremely useful reference for researchers.' Nathan Seiberg, Institute for Advanced Study, Princeton'Quantum Phases of Matter is a must-read magnum opus from the leading expert, revealing his deep insights and wonderfully complementing Quantum Phase Transitions, which has been the best reference on the subject since publication. This new book skilfully takes the reader on an exhilarating, yet pedagogical tour of quantum condensed matter, from the basic to the most advanced frontier topics of current research. Theorists - from students to faculty - will be eager to dig into this masterpiece, to learn the secrets of the trade from its master.' Leo Radzihovsky, University of Colorado, BoulderTable of ContentsPreface; 1. Survey of experiments; Part I: Background: 2. Fermi liquid theory; 3. Dilute Bose gas; 4. BCS theory of superconductivity; 5. Broken symmetry and superfluidity; 6. Landau–Ginzburg theory; 7. Vortices in superfluids; 8. Boson Hubbard model; 9. Electron Hubbard model; 10. Relativistic scalar field: diagrams; 11. Relativistic scalar field: correlation functions; 12. Fermions and bosons; Part II. Fractionalization and Emergent Gauge Fields I: 13. Introduction to gapped spin liquids; 14. Fractionalization in the XY model in 2+1 dimensions; 15. Theory of gapped Z2 spin liquids; 16. Z2 gauge theory; 17. Chern–Simons gauge theories; Part III. Band Topology: 18. Berry phases and Chern numbers; 19. Integer quantum Hall states; 20. Topological insulators and superconductors; Part IV. Fractionalization and Emergent Gauge Fields II: 21. Parton theories; 22. The chiral spin liquid; 23. Non-Abelian Ising anyons; 24. Fractional quantum hall states; 25. Dualities of XY models and U(1) gauge theories; 26. Applications of dualities to spin liquids; 27. Boson–fermion and fermion–fermion dualities; 28. Gapless spin liquids; Part V. Correlated Metals: 29. Kondo impurity model; 30. The heavy Fermi liquid; 31. The fractionalized Fermi liquid; 32. SYK models; 33. Random quantum spin liquids and spin glasses; 34. Fermi surfaces without quasiparticles; Appendix A. coherent state path integral; Appendix B. Grassman path integral; Appendix C. From spin Berry phases to background gauge charges; Appendix D. Emergent Z2 gauge theories; References; Index.

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Book SynopsisArtificial intelligence is dramatically reshaping scientific research and is coming to play an essential role in scientific and technological development by enhancing and accelerating discovery across multiple fields. This book dives into the interplay between artificial intelligence and the quantum sciences; the outcome of a collaborative effort from world-leading experts. After presenting the key concepts and foundations of machine learning, a subfield of artificial intelligence, its applications in quantum chemistry and physics are presented in an accessible way, enabling readers to engage with emerging literature on machine learning in science. By examining its state-of-the-art applications, readers will discover how machine learning is being applied within their own field and appreciate its broader impact on science and technology. This book is accessible to undergraduates and more advanced readers from physics, chemistry, engineering, and computer science. Online resources include Jupyter notebooks to expand and develop upon key topics introduced in the book.

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Book SynopsisQuantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions.The second edition of this book has been revised throughout, and updated to include new topics, such as boson sampling, coherent feedback, nonlinear control, as well as several new solved problems.The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds and are demonstrated with specific case studies.This book willTable of ContentsChapter 1: Introduction. Chapter 2: Quantum Mechanics: Instructions for Use. Chapter 3: Gaussian States of Continuous Variable Systems. Chapter 4: Phase Space Methods. Chapter 5: Gaussian Operations. Chapter 6: Diffusive Dynamics and Continuous Monitoring. Chapter 7: Entanglement of Continuous Variable Systems. Chapter 8: Quantum Information Protocols with Continuous Variables. Chapter 9: A Grand Tour of Continuous Variable Platforms. Appendix A: A Note on Fermions. Appendix B: Some Notable Facts About the Symplectic Group. Appendix C: The Wiener Process. Appendix D: Selected Mathematical Lore on Quantum Channels. Appendix E: Classical and Quantum Estimation Bounds. References. Index.

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Book SynopsisDiscover the astounding science of the subatomic world in this accessible guide to quantum physics, bringing remarkable clarity to some of the great mysteries of the universe. NASA scientist and educator Sten Odenwald explores the weird and wonderful insights of quantum physics that have shaped our understanding of modern science. Featuring topics such as Schrodinger''s cat, the wave-particle duality and the newly emerging theories of quantum gravity, Quantum Physics provides an essential introduction to this cutting-edge science. It also presents the personalities behind these discoveries, such as Max Planck, Neils Bohr, Werner Heisenberg, Richard Feynman and many more.Includes:• String theory• Antimatter• The double-slit experiment • Supersymmetry Presented with diagrams, illustrations and simple summary sections at the end of each chapter, this new fascinating guide demystifies this crucial sub

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Book SynopsisIn Synchronicity Paul Halpern tells the little-known story of the unlikely friendship between the Nobel-prize-winning quantum physicist Wolfgang Pauli and the father of psychoanalysis, Carl Jung. In the 1930s, Pauli and Jung began collaborating on a unified theory of quantum and the mind, the result of which was Jung's synchronicity principle-the idea that events connected by meaning need not be explained by causality. Pauli's work on entanglement theory, which allowed for instantaneous cause and effect relationships, was particularly appealing to Jung, as it seemed to give weight to his controversial theory of a collective unconscious.Casting their relationship within a larger intellectual history of entanglement theory, Halpern poses a question that has mystified physicists and philosophers alike since the times of Aristotle: Is the speed of light finite, as Einstein posited, or is it, as Pauli and the proponents of entanglement theory asserted, variable across time and dimensions? As Halpern works his way through the history of the physics of cause and effect, he shows that this centuries-old debate is not only relevant at the smallest scales of particle physics but also at the largest scales of the cosmos itself.

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Book SynopsisQuantum physics is not only the future of science, but it is, also, the key to understanding consciousness, life, death, God, psychology and the meaning of life. Quantum physics is an antidote to the moral sterility and mechanistic approach of scientific materialism and is the best and clearest approach to understanding our universe. In short, quantum physics is indeed the theory of everything.Here Dr. Goswami discusses, among other things, how quantum physics affects our understanding of:ZenThoughts, feelings and intuitionsDreamsKarma, death and reincarnationGod''s will, evolution and purposeThe meaning of dreamsThe spiritualisation of economics and business, politics and education and society itselfThis fascinating new book will appeal to a wide array of readers, ranging from those interested in the new physics to those captivated by the spiritual implications of the latest scientific breakthroughs.

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Book SynopsisQuantum physics has turned our commonsense notion of reality on its head. This accessible book describes in layperson's terms the strange phenomena that exist at the quantum level--a world of tiny dimensions where nothing is absolutely predictable, where we rethink causality, and information seemingly travels faster than light. The author, a veteran physicist, uses illuminating analogies and jargon-free language to illustrate the basic principles of the subatomic world and show how they explain everything from the chemistry around us to the formation of galaxies. He also explains how scientists and engineers interact with this nebulous reality and, despite its mysteries, achieve results of great precision.Up front is a brief history of the early 20th-century "quantum revolution," focusing on some of the brilliant individuals whose contributions changed our view of the world--Albert Einstein, Niels Bohr, Paul Dirac, Werner Heisenberg, Erwin Schroedinger, and others. The work concludes with a discussion of the many amazing inventions that have resulted from quantum theory, including lasers, semiconductors, and the myriad of electronic devices that use them.Lucidly written, this book conveys the excitement of discovery while expanding the reader's appreciation for a science that explores the basis of everything we know.Trade Review""Well-written and easy to read. Quantum Fuzz is an excellent introduction for anyone reading about physics for the first time, and also a good review for physics students. Very comprehensive and enjoyable. Highly recommended.”—Barry Parker, author of The Physics of War “Quantum Fuzz is an engaging book that ventures way beyond what the title implies. As promised, Walker explains quantum mechanics to a general audience by way of analogies, a difficult task that he accomplishes smoothly. But he doesn't stop there. Astronomy, computers, physics, and some aspects of modern technology from his professional engineering experience are addressed with clear, precise explanations. As a bonus, chemistry and the periodic table have the most cogent exposition I have ever seen, especially since it is viewed from a physics standpoint. This is a welcome addition to any thoughtful person's library.”—Arthur W. Wiggins, Physics Professor Emeritus at Oakland Community College and coauthor of The Human Side of Science “Walker brings to life one of the most strange, fascinating, and beautiful descriptions of our physical world. . . . Human beings and things here on Earth are all made of atoms. Yet most people know nothing of their diffuse, fascinating symmetries, and how these forms determine much of the properties of our universe. This book is an opportunity to 'come on board and sail to new lands of understanding.'" —David Toback, author of Big Bang, Black Holes, No Math“A good introduction for the general reader to the theory and applications of quantum mechanics. It includes one of the best descriptions of the history of the discovery of quantum mechanics that I have seen.”—Fred Kuttner, PhD, coauthor of Quantum Enigma: Physics Encounters Consciousness “Guided by Walker's careful, clear, and comfortable writing, you will discover a new way of understanding matter, energy, and the universe as a whole.”—Alfred "Fred” B. Bortz, PhD, author, and winner of the American Institute of Physics Science Writing Award

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Book SynopsisThe quest to find a theory of quantum gravity that could potentially explain everything.Nearly 60 years ago, Nobel Prize-winners Arno Penzias and Robert Wilson stumbled across a mysterious hiss of faint radio static that was interfering with their observations. They had found the key to unravelling the story of the Big Bang and the origin of our universe.That signal was the Cosmic Microwave Background (CMB), the earliest light in the universe, released 379,000 years after the Big Bang. It contains secrets about what happened during the very first tiny increments of time, which had consequences that have rippled throughout cosmic history, leading to the universe of stars and galaxies that we live in today. This is the enthralling story of the quest to understand the CMB radiation and what it can tell us of the origins of time and space, from bubble universes to a cyclical cosmos - and possibly leading to the elusive theory of quantum gravity itself.

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Book SynopsisA concise, uncluttered edition for the modern reader, with a new introduction. Quantum Theory contains two foundational works of quantum research from the early years of the 20th Century, representing breakthroughs in science that radically altered the landscape of modern knowledge: Quantum Theory of Line-Spectra by Niels Bohr and The Origin and Development of the Quantum Theory by Max Planck. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.

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Book SynopsisMystics of all traditions speak of the unity that lies behind all things. Scientists seek to define the laws that govern matter and energy. But neither approach accounts satisfactorily for the world of imagination, ritual and creativity, for the inexplicable connections found in precognition, for the uncanny accuracy of oracles like the I Ching, or for the effectiveness of healing modalities like homeopathy. In One Earth Three Worlds, Julian Carlyon draws on quantum theory, Carl Jung’s theory of synchronicity, the work of scientists Rupert Sheldrake and David Bohm, and ancient Chinese wisdom, to better understand how the unity lying behind all life might manifest itself in the daily-life world of our experience. Through his schema of ‘oneness world’, ‘twoness world’ and ‘intermediary world’ the author draws together such diverse threads as quantum entanglement, synchronicity, similarity and analogy, homeopathy, healing, dreams, creativity, free choice and destiny, spiritual unity, movement practice and the body. In doing so, he offers a way to appreciate how spiritual and scientific perspectives can exist alongside one another – a way to see how the unity behind everything can show up and work its magic in the physical reality of our lives. This is a book for anyone – scientist, therapist, creative artist, healer, eco-activist or enquirer – curious about how our world works and how to reconcile our apparently conflicting approaches to reality.Table of ContentsIntroduction Newton and Einstein Quantum Mechanics and Quantum Entanglement Synchronicity Similarity Similar Resonance in Healing Quantum Body Oneness World and Twoness World Intermediary World Oneness, Twoness and Creativity Onness, Twoness and Healing Dreams, Science and the Intermediary World Oneness World and Twoness World: this world and that world Pattern and Choice Body as Movement Emptiness and Fullness Love and Wholeness Future Science Notes

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Book SynopsisThis textbook is designed for graduate students to introduce the basic concepts of Nuclear Magnetic Resonance spectroscopy (NMR), spectral analysis and modern developments such as multidimensional NMR, in reasonable detail and rigor. The book is self-contained, so, a unique textbook in that sense with end of chapter exercises included supported by a solution manual. Some of the advanced topics are included as Appendices for quick reference. Students of chemistry who have some exposure to mathematics and physics will benefit from this book and it will prepare them to pursue research in different branches of Chemistry or Biophysics or Structural Biology.​Table of ContentsChapter-1: BASIC CONCEPTS 1.1 Nuclear Spin and Magnetic Moments 1.2 Nuclear Spins in a Magnetic Field 1.3 Spin Lattice Relaxation 1.4 Spin temperature 1.5 Resonance Absorption of Energy and The NMR Experiment 1.5.1. The basic NMR spectrometer 1.6 Kinetics of Resonance Absorption 1.7 Selection Rules 1.8 Line widths 1.9 Bloch equations 1.10 More about relaxation 1.11 Sensitivity EXERCISES CHAPTER 2: HIGH RESOLUTION NMR SPECTRA OF MOLECULES 2.1 Introduction 2.2 Chemical Shift 2.2.1 Anisotropy of chemical shifts 2.2.2 Factors Influencing Isotropic Chemical shifts 2.3 Spin-Spin Coupling 2.4 Analysis of NMR spectra of molecules 2.4.1 First Order Analysis 2.4.2 Quantum Mechanical Analysis 2.5 Dynamic Effects in the NMR spectra 2.5.1 Two site Chemical Exchange 2.5.2. Collapse of spin multiplets 2.5.3 Conformational Averaging of J- values EXERCISES CHAPTER 3: FOURIER TRANSFORM NMR 3.1 Introduction 3.2 Principles of Fourier transform NMR 3.3 Theorems on Fourier transforms 3.4 The FTNMR Spectrometer 3.5. Practical aspects of recording FTNMR spectra 3.5.1. Carrier Frequency and off-set 3.5.2. RF pulse 3.5.3. Free Induction Decay (FID) and the spectrum 3.5.4. Single channel and quadrature detection 3.5.5. Signal digitization and sampling 3.5.6. Folding of signals 3.5.7. Acquisition time and the resolution 3.5.8. Signal averaging and Pulse repetition rate 3.6. Data processing in FT NMR 3.6.1. Zero filling 3.6.2. Digital filtration or window multiplication or apodization 3.7 Phase correction 3.8. Dynamic range in FTNMR 3.9. Spin-echo 3.10. Measurement of relaxation times 3.10.1. Measurement of relaxation time 3.10.2. Measurement of relaxation time 3.11. Water suppression through spin-echo: Watergate 3.12 Spin decoupling 3.13 Broad band decoupling 3.14 Biliniear Rotational Decoupling (BIRD) EXERCISES CHAPTER 4: POLARIZATION TRANSFER 4.1 Introduction 4.2 Experimental Schemes 4.3 Origin of NOE 4.3.1 A simplified treatment 4.3.2 A more rigorous treatment 4.4 Steady state NOE 4.5 Transient NOE 4.6. Selective population inversion 4.7. INEPT 4.7.1. Disadvantages of INEPT 4.8 Refocused INEPT 4.9 DEPT EXERCISES CHAPTER 5: Density matrix description of NMR 5.1 Introduction 5.2 Density matrix 5.3 Elements of Density Matrix 5.4. Time evolution of density operator 5.5. Matrix representations of RF pulses 5.6. Product Operator Formalism 5.6.1. Basis operator sets 5.6.2. Time-evolution of Cartesian Basis Operators 5.6.2.1 Free evolution under the influence of the Hamiltonian 5.6.2.2 Chemical Shift evolution 5.6.2.3 Scalar coupling evolution 5.6.2.4 Rotation by pulses 5.6.2.5 Calculation of the spectrum of J-coupled two spin system EXERCISES Chapter 6: Multidimensional NMR Spectroscopy 6.1 Segmentation of the time axis 6.2 Two dimensional NMR 6.3 Two-dimensional Fourier Transformation in NMR 6.4 Peak shapes in 2D spectrum 6.5 Quadrature detection in two-dimensional NMR 6.6 Types of 2D-NMR spectra 6.6.1 2D- resolution/ separation experiments 6.6.2. Two-dimensional correlation experiments 6.6.2.1 The COSY experiment 6.6.2.1.1 COSY of two-spins 6.6.2.1.2 COSY of three-spins 6.6.2.1.3 Disadvantages of COSY 6.6.2.2 Double-Quantum Filtered COSY (DQF-COSY) 6.6.2.3 Total Correlation Spectroscopy (TOCSY) 6.6.2.4 Two-dimensional Nuclear Overhauser Effect spectroscopy (2D-NOESY) 6.6.2.5 Two-dimensional ROESY 6.6.3 Two-dimensional heteronuclear correlation experiments 6.6.3.1 Heteronuclear COSY 6.6.3.2 Heteronuclear Multiple Bond Correlation (HMBC) 6.6.3.3 Combination of mixing sequences 6.7 Three dimensional NMR 6.7.1 The CT-HNCA experiment 6.7.2 The HNN experiment 6.7.3 The constant-time HN(CO)CA experiment 6.7.4 The HN(C)N experiment EXERCISES APPENDIX A1. Hamiltonian of dipole-dipole interaction A2. Chemical Shift Anisotropy A3. Solid state NMR: basic features A4. Coherence selection by linear Field Gradients A5. Pure shift NMR: ZS and PSYCHE methods A6. HADAMARD NMR for selective excitation

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Book SynopsisThis book introduces the fundamentals of the theory of quantum computing, illustrated with code samples written in Q#, a quantum-specific programming language, and its related Quantum Development Kit. Quantum computing (QC) is a multidisciplinary field that sits at the intersection of quantum physics, quantum information theory, computer science and mathematics, and which may revolutionize the world of computing and software engineering. The book begins by covering historical aspects of quantum theory and quantum computing, as well as offers a gentle, algebra-based, introduction to quantum mechanics, specifically focusing on concepts essential for the field of quantum programming. Quantum state description, state evolution, quantum measurement and the Bell’s theorem are among the topics covered. The readers also get a tour of the features of Q# and familiarize themselves with the QDK. Next, the core QC topics are discussed, complete with the necessary mathematical formalism. This includes the notions of qubit, quantum gates and quantum circuits. In addition to that, the book provides a detailed treatment of a series of important concepts from quantum information theory, in particular entanglement and the no-cloning theorem, followed by discussion about quantum key distribution and its various protocols. Finally, the canon of most important QC algorithms and algorithmic techniques is covered in-depth - from the Deutsch-Jozsa algorithm, through Grover’s search, to Quantum Fourier Transform, quantum phase estimation and Shor’s algorithm. The book is an accessible introduction into the vibrant and fascinating field of quantum computing, offering a blend of academic diligence with pragmatism that is so central to software development world. All of the discussed theoretical aspects of QC are accompanied by runnable code examples, providing the reader with two different angles - mathematical and programmatic - of looking at the same problem space. Table of ContentsPart One1 Background 1.1 Historical development of quantum theory 1.2 Reality without realism 2 Basics of quantum mechanics 2.1 Quantum state 2.2 Superposition 2.3 Born rule 2.4 Observables 2.5 State evolution 2.6 Larger systems 2.7 Postulates of quantum mechanics 2.8 Entanglement 2.9 Bell’s theorem 2.10 No-cloning theorem Part Two 3 Getting Started with Quantum Programming 3.1 Setting up QDK environment 3.2 Getting started with Q# 4 Quantum Computing 4.1 History 4.2 Qubits 4.3 Quantum circuits 4.4 Superposition 4.5 Pauli gates 4.5.1 I gate 4.5.2 X gate 4.5.3 Z gate 4.5.4 Y gate 4.5.5 Summary 4.6 Rotation gates 4.6.1 Rz gate 4.6.2 S gate 4.6.3 T gate 4.6.4 Rx and Ry gates 4.7 Multi qubit gates 4.7.1 Controlled gates 4.7.2 CNOT gate 4.7.3 SWAP gate 4.7.4 CZ gate 4.7.5 Toffoli gate 4.8 Gate universality 5 Entanglement 5.1 Basics 5.2 Bell’s inequalities 5.3 CHSH Game 5.4 Teleportation 5.5 Superdense coding 5.6 Entanglement as a resource 6 Quantum Key Distribution 6.1 One-time pad encryption 6.2 BB84 protocol 6.3 B92 protocol 6.4 EPR-based quantum key distribution Part Three 7 Algorithms 7.1 Deutsch-Jozsa Algorithm 7.2 QuantumSearch 7.3 Useful Algorithm Components 7.3.1 QFT 7.3.2 QPE 7.4 Shor’s Algorithm

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Book Synopsis“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.” Nicki Hayes, CCO, The Communications Practice, author of First Aid for Feelings. “Only a few writers have managed to turn the highly technical jargon of science into language accessible for interested lay readers. Isaac Asimov showed us how it could be done, and Carl Zimmer and Brian Greene are continuing today. In Molecular Storms, his first book, Liam Graham has shown that he has the essential quality required to join this group, a love of first learning then explaining how the universe works." David Deamer, Professor of Biomolecular Engineering, University of California, Santa Cruz, author of Assembling Life.Why is the universe the way it is? Wherever we look, we find ordered structures: from stars to planets to living cells. This book shows that the same driving force is behind structure everywhere: the incessant random motion of the components of matter. Physicists call it thermal noise. Let’s call it the molecular storm.This storm drives the fusion reactions that make stars shine. It drives whirlpools and currents in atmospheres and oceans. It spins and distorts molecules until they are in the right orientation to react and form new substances. In living cells, it drives proteins to fold and molecules to self-assemble. It is behind every detail of the astonishing molecular machines that control cellular processes.Using cutting-edge research, “Molecular Storms” takes us on a dazzling journey from the early universe to the interior of the smallest living things. There, in a nanoscale world of biological devices, it explains the physics behind the chemical system which we call Life.Whether you're someone with a general interest in science or a student looking to add context to your studies, this book is for you. "Molecular Storms" is an accessible and captivating read that will deepen your appreciation of the power of science to explain the world.Trade Review“Graham displays a magisterial command of the material … . a thought-provoking reflection on the deepest of questions.” (Kirkus, Kirkus, kirkusreviews.com, November 3, 2023)“His grand tour of the physical world leaves little unexamined, starting with simple systems of gas molecules in a box, moving to the smallest, simplest living cells, then on to whole planets. Graham does a stunning job of connecting everything to the state of disorder we call entropy and to the driving force behind structures everywhere – the ‘molecular storms’ of his title.” (Karmela Padavic-Callaghan, New Scientist, newscientist.com, January 3, 2024)Table of ContentsIntroduction.- Random Patterns.- The Molecular Storm.- The Joy of Thermodynamics.- The Engines of Creation.- From Big Bang to Big Freeze.- How Chemistry Works.- Lively Molecules.

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Book SynopsisKeeping in mind that we can only see the universe from the comfort of our home galaxy, Bascom begins his text by meticulously laying the necessary groundwork to understand the Big Bang’s mathematics without using any equations. He then paints a freeze-frame picture of our universe as if we had taken a three-dimensional picture with a giant camera. Within this picture, he traces forces beginning with the smallest (a single atom) to the biggest (the cosmos), keeping in mind that in this frozen moment everything further away from the observer spatially is also further away from the observer in time; that is, older. Soon a very real and very vivid image of the Big Bang appears (especially in things that are loud or hot), echoing down through time and into our everyday lives, reflected in every atom during every measurement. Then, slowly but deliberately, Bascom unfreezes this picture, ratcheting each moment from one to the next, showing us how and why quantum particles are constantly in contact with the Big Bang and why that allows the particles to pop in and out of existence from moment to moment, what a photon is, and what exactly we mean when we say that free space has energy. Whether you’re interested in the Big Bang, the weirdness of quantum mechanics, or simply enjoy thinking about the biggest, loudest, and oldest things in our universe, this book will help you question your deepest notions about time and space, while staying firmly rooted in empirical observation. Throughout the text, Bascom sidesteps traditional non-fiction modes, using colorful explanations and vivid imagery to place the reader in simultaneous contact with both the Big Bang and fundamental particles. As a result, Bascom provides the tools and language necessary to contemplate the strangeness of our universe.Table of Contents1. Introduction.- 1.1 Putting Now at the Center.- 1.2 Putting Past at the Edge.- 2. Narrative Time.- 2.1 Making Vs Unmaking Matter.- 2.2 Melting Velcro or "A bit about Thermodynamics".- 3. Narrative Space.- 3.1 Discontinuous Space.- 3.2 The Shape of The Big Bang.- 4. Narrative Energy.- 4.1 Frame Rates.- 4.2 Narrative Frames.- 4.3 Local Vs Global Energy Ancestors.- 5. Snaps, Crackles and Pops.- 5.1 Whips.- 5.2 Pops.- 5.3 Shockwaves.- 6. Phasing it All Together.- 6.1 Orbitals.- 6.2 Charge and Spin.- 6.3 Light Bulbs.- 6.4 Slits.- 7. Everything is Spinning.- 7.1 Trapped inside a giant spinning marble.- 8. Conclusion.- 8.1 What it all means.

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Book SynopsisA Guide through the Mysteries of Quantum Physics! Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language. More than 200 exercises introduce readers to the concepts and implications of quantum mechanics that have arisen from the experimental results of the recent two decades. With students as well as researchers in mind, the authors give an insight into that part of the field, which led Feynman to declare that "nobody understands quantum mechanics". * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/Trade Review"This is a wonderful book for everyone who wishes to deep the knowledge and understanding of the foundations of quantum mechanics.[...] As a whole, "Quantum Paradoxes. Quantum Theory for the Perplexed" is an exclusively rare and inspirational book on quantum mechanics that explores the never-ending mysterious quantum paradoxes to bring the readers to the QuantumWonderland. This book I do believe should be recommended to everyone." Zentralblatt MATH"Das Buch ist anspruchsvoll, aber nicht nur für Physik-Interessierte ein Gewinn, sondern auch für alle, die sich mit naturphilosophischen Fragen auseinandersetzen." Das Science Fiction Jahr - Wissenschaftsbücher 2005 Table of ContentsThe Use of Paradox How to Weigh a Quantum Is Quantum Theory Complete? Phases and Gauges Modular Variables Nonlocality and Causality Quantum Measurements Measurement and Compensation Quantum Cats A Quantum Arrow of Time? Superselection Rules Quantum Slow Dance Charges and Fluxons Quantum Measurements and Relativity How to Observe a Quantum Wave Weak Values Weak Values and Entanglement The Quantum World

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Book SynopsisA new, updated and enhanced edition of the classic work, which was welcomed for its general approach and self-sustaining organization of the chapters. Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books. It includes applications of condensed matter physics, first developing traditional concepts, including Feynman graphs, before moving on to such key topics as functional integrals, statistical mechanics and Wilson's renormalization group. The author takes care to explain the connection between the latter and conventional perturbative renormalization. Due to the rapid advance and increase in importance of low dimensional systems, this second edition fills a gap in the market with its added discussions of low dimensional systems, including one-dimensional conductors. All the chapters have been revised, while more clarifying explanations and problems have been added. A FREE SOLUTIONS MANUAL is available for lecturers from www.wiley-vch.de/textbooks.Trade Review"The description of low dimensional systems, e.g. one-dimensional conductors, is added. Moreover, in the appendix C, Polchinski's renormation equation is derived, solved and applied to the asymptotically free scalar field." (Zentralblatt MATH, 2010) "Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books." (ETDE - Energy Database, 2010)Table of Contents1. Introducing Quantum Fields 2. Scalar Fields 3. Relativistic Fields 4. Canonical Formalism 5. Electromagnetic Field 6. Dirac Equation 7. The Dirac Field 8. Dynamics of Interacting Fields 9. Feynman Graphs 10. Vacuum Correlation Functions 11. Quantum Electrodynamics 12. Processes in Quantum Electrodynamics 13. Perturbative Renormalization 14. Path Integrals 15. Broken Symmetry 16. Renormalization 17. The Gaussian Fixed Point 18. In Two Dimensions 19. Topological Excitations Appendix A. Background Material Appendix B. Superfluidity Appendix C. Polchinski's Renormalization Equation

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Book SynopsisPresents a unique approach to grasping the concepts of quantum theory with a focus on atoms, clusters, and crystals Quantum theory of atoms and molecules is vitally important in molecular physics, materials science, nanoscience, solid state physics and many related fields. Introductory Quantum Mechanics with MATLAB is designed to be an accessible guide to quantum theory and its applications. The textbook uses the popular MATLAB programming language for the analytical and numerical solution of quantum mechanical problems, with a particular focus on clusters and assemblies of atoms. The textbook is written by a noted researcher and expert on the topic who introduces density functional theory, variational calculus and other practice-proven methods for the solution of quantum-mechanical problems. This important guide: -Presents the material in a didactical manner to help students grasp the concepts and applications of quantum theory -Covers a wealth of cutting-edge topics such as clusters, nanocrystals, transitions and organic molecules -Offers MATLAB codes to solve real-life quantum mechanical problems Written for master's and PhD students in physics, chemistry, material science, and engineering sciences, Introductory Quantum Mechanics with MATLAB contains an accessible approach to understanding the concepts of quantum theory applied to atoms, clusters, and crystals. Table of ContentsPreface xi 1 Introduction 1 1.1 Different Is Usually Controversial 1 1.2 The Plan: Addressing Dirac’s Challenge 2 Reference 4 2 The Hydrogen Atom 5 2.1 The Bohr Model 5 2.2 The Schrödinger Equation 8 2.3 The Electronic Structure of Atoms and the Periodic Table 15 References 18 3 Many-electron Atoms 19 3.1 The Variational Principle 19 3.1.1 Estimating the Energy of a Helium Atom 21 3.2 The Hartree Approximation 22 3.3 The Hartree–Fock Approximation 25 References 27 4 The Free Electron Gas 29 4.1 Free Electrons 29 4.2 Hartree–Fock Exchange in a Free Electron Gas 35 References 36 5 Density Functional Theory 37 5.1 Thomas–Fermi Theory 37 5.2 The Kohn–Sham Equation 40 References 43 6 Pseudopotential Theory 45 6.1 The Pseudopotential Approximation 45 6.1.1 Phillips–Kleinman CancellationTheorem 47 6.2 PseudopotentialsWithin Density FunctionalTheory 50 References 57 7 Methods for Atoms 59 7.1 The Variational Approach 59 7.1.1 Estimating the Energy of the Helium Atom. 59 7.2 Direct Integration 63 7.2.1 Many-electron Atoms Using Density FunctionalTheory 67 References 69 8 Methods for Molecules, Clusters, and Nanocrystals 71 8.1 The H2 Molecule: Heitler–LondonTheory 71 8.2 General Basis 76 8.2.1 PlaneWave Basis 79 8.2.2 PlaneWaves Applied to Localized Systems 87 8.3 Solving the Eigenvalue Problem 89 8.3.1 An Example Using the Power Method 92 References 95 9 Engineering Quantum Mechanics 97 9.1 Computational Considerations 97 9.2 Finite Difference Methods 99 9.2.1 Special DiagonalizationMethods: Subspace Filtering 101 References 104 10 Atoms 107 10.1 Energy levels 107 10.2 Ionization Energies 108 10.3 Hund’s Rules 110 10.4 Excited State Energies and Optical Absorption 113 10.5 Polarizability 122 References 124 11 Molecules 125 11.1 Interacting Atoms 125 11.2 Molecular Orbitals: Simplified 125 11.3 Molecular Orbitals: Not Simplified 130 11.4 Total Energy of a Molecule from the Kohn–Sham Equations 132 11.5 Optical Excitations 137 11.5.1 Time-dependent Density FunctionalTheory 138 11.6 Polarizability 140 11.7 The Vibrational Stark Effect in Molecules 140 References 150 12 Atomic Clusters 153 12.1 Defining a Cluster 153 12.2 The Structure of a Cluster 154 12.2.1 Using Simulated Annealing for Structural Properties 155 12.2.2 Genetic Algorithms 159 12.2.3 Other Methods for Determining Structural Properties 162 12.3 Electronic Properties of a Cluster 164 12.3.1 The Electronic Polarizability of Clusters 164 12.3.2 The Optical Properties of Clusters 166 12.4 The Role of Temperature on Excited-state Properties 167 12.4.1 Magnetic Clusters of Iron 169 References 174 13 Nanocrystals 177 13.1 Semiconductor Nanocrystals: Silicon 179 13.1.1 Intrinsic Properties 179 13.1.1.1 Electronic Properties 179 13.1.1.2 Effective MassTheory 184 13.1.1.3 Vibrational Properties 187 13.1.1.4 Example of VibrationalModes for Si Nanocrystals 188 13.1.2 Extrinsic Properties of Silicon Nanocrystals 190 13.1.2.1 Example of Phosphorus-Doped Silicon Nanocrystals 191 References 197 A Units 199 B A Working Electronic Structure Code 203 References 206 Index 207

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Book SynopsisProvides fully updated coverage of new experiments in quantum optics This fully revised and expanded edition of a well-established textbook on experiments on quantum optics covers new concepts, results, procedures, and developments in state-of-the-art experiments. It starts with the basic building blocks and ideas of quantum optics, then moves on to detailed procedures and new techniques for each experiment. Focusing on metrology, communications, and quantum logic, this new edition also places more emphasis on single photon technology and hybrid detection. In addition, it offers end-of-chapter summaries and full problem sets throughout. Beginning with an introduction to the subject, A Guide to Experiments in Quantum Optics, 3rd Edition presents readers with chapters on classical models of light, photons, quantum models of light, as well as basic optical components. It goes on to give readers full coverage of lasers and amplifiers, and examines numerous photodetection techniques being used today. Other chapters examine quantum noise, squeezing experiments, the application of squeezed light, and fundamental tests of quantum mechanics. The book finishes with a section on quantum information before summarizing of the contents and offering an outlook on the future of the field. -Provides all new updates to the field of quantum optics, covering the building blocks, models and concepts, latest results, detailed procedures, and modern experiments -Places emphasis on three major goals: metrology, communications, and quantum logic -Presents fundamental tests of quantum mechanics (Schrodinger Kitten, multimode entanglement, photon systems as quantum emulators), and introduces the density function -Includes new trends and technologies in quantum optics and photodetection, new results in sensing and metrology, and more coverage of quantum gates and logic, cluster states, waveguides for multimodes, discord and other quantum measures, and quantum control -Offers end of chapter summaries and problem sets as new features A Guide to Experiments in Quantum Optics, 3rd Edition is an ideal book for professionals, and graduate and upper level students in physics and engineering science. Table of ContentsPreface xv Acknowledgments xix 1 Introduction 1 1.1 Optics in Modern Life 1 1.2 The Origin and Progress of Quantum Optics 3 1.3 Motivation Through Simple and Direct Teaching Experiments 7 1.4 Consequences of Photon Correlations 12 1.5 How to Use This Guide 14 References 16 2 Classical Models of Light 19 2.1 Classical Waves 20 2.1.1 Mathematical Description of Waves 20 2.1.2 The Gaussian Beam 21 2.1.3 Quadrature Amplitudes 24 2.1.4 Field Energy, Intensity, and Power 25 2.1.5 A Classical Mode of Light 26 2.1.6 Light Carries Information 28 2.1.7 Modulations 30 2.2 Optical Modes and Degrees of Freedom 32 2.2.1 Lasers with Single and Multiple Modes 32 2.2.2 Polarization 33 2.2.2.1 Poincaré Sphere and Stokes Vectors 35 2.2.3 Multimode Systems 36 2.3 Statistical Properties of Classical Light 37 2.3.1 The Origin of Fluctuations 37 2.3.1.1 Gaussian Noise Approximation 38 2.3.2 Noise Spectra 39 2.3.3 Coherence 40 2.3.3.1 Correlation Functions 44 2.4 An Example: Light from a Chaotic Source as the Idealized Classical Case 46 2.5 Spatial Information and Imaging 50 2.5.1 State-of-the-Art Imaging 50 2.5.2 Classical Imaging 52 2.5.3 Image Detection 55 2.5.4 Scanning 56 2.5.5 Quantifying Noise and Contrast 58 2.5.6 Coincidence Imaging 59 2.5.7 Imaging with Coherent Light 60 2.5.8 Image Reconstruction with Structured Illumination 60 2.5.9 Image Analysis and Modes 61 2.5.10 Detection Modes and Displacement 61 2.6 Summary 62 References 63 Further Reading 64 3 Photons: The Motivation to Go Beyond Classical Optics 65 3.1 Detecting Light 65 3.2 The Concept of Photons 68 3.3 Light from a Thermal Source 70 3.4 Interference Experiments 73 3.5 Modelling Single-Photon Experiments 78 3.5.1 Polarization of a Single Photon 79 3.5.1.1 Some Mathematics 80 3.5.2 Polarization States 81 3.5.3 The Single-Photon Interferometer 83 3.6 Intensity Correlation, Bunching, and Anti-bunching 84 3.7 Observing Photons in Cavities 88 3.8 Summary 90 References 90 Further Reading 92 4 Quantum Models of Light 93 4.1 Quantization of Light 93 4.1.1 Some General Comments on Quantum Mechanics 93 4.1.2 Quantization of Cavity Modes 94 4.1.3 Quantized Energy 95 4.1.4 The Creation and Annihilation Operators 97 4.2 Quantum States of Light 97 4.2.1 Number or Fock States 97 4.2.2 Coherent States 99 4.2.3 Mixed States 101 4.3 Quantum Optical Representations 102 4.3.1 Quadrature Amplitude Operators 102 4.3.2 Probability and Quasi-probability Distributions 104 4.3.3 Photon Number Distributions 108 4.3.4 Covariance Matrix 111 4.3.4.1 Summary of Different Representations of Quantum States and Quantum Noise 112 4.4 Propagation and Detection of Quantum Optical Fields 113 4.4.1 Quantum Optical Modes in Free Space 114 4.4.2 Propagation in Quantum Optics 115 4.4.3 Detection in Quantum Optics 117 4.4.4 An Example: The Beamsplitter 118 4.5 Quantum Transfer Functions 120 4.5.1 A Linearized Quantum Noise Description 121 4.5.2 An Example: The Propagating Coherent State 123 4.5.3 Real Laser Beams 123 4.5.4 The Transfer of Operators, Signals, and Noise 124 4.5.5 Sideband Modes as Quantum States 126 4.5.6 Another Example: A Coherent State Pulse Through a Frequency Filter 129 4.5.7 Transformation of the Covariance Matrix 130 4.6 Quantum Correlations 131 4.6.1 Photon Correlations 131 4.6.2 Quadrature Correlations 132 4.6.3 Two-Mode Covariance Matrix 133 4.7 Summary 134 4.7.1 The Photon Number Basis 134 4.7.2 Quadrature Representations 135 4.7.3 Quantum Operators 135 4.7.4 The Quantum Noise Limit 136 References 136 Further Reading 137 5 Basic Optical Components 139 5.1 Beamsplitters 140 5.1.1 Classical Description of a Beamsplitter 140 5.1.1.1 Polarization Properties of Beamsplitters 142 5.1.2 The Beamsplitter in the Quantum Operator Model 143 5.1.3 The Beamsplitter with Single Photons 144 5.1.4 The Beamsplitter and the Photon Statistics 146 5.1.5 The Beamsplitter with Coherent States 149 5.1.5.1 Transfer Function for a Beamsplitter 149 5.1.6 Comparison Between a Beamsplitter and a Classical Current Junction 151 5.1.7 The Beamsplitter as a Model of Loss 152 5.2 Interferometers 153 5.2.1 Classical Description of an Interferometer 154 5.2.2 Quantum Model of the Interferometer 155 5.2.3 The Single-Photon Interferometer 156 5.2.4 Transfer of Intensity Noise Through the Interferometer 156 5.2.5 Sensitivity Limit of an Interferometer 157 5.2.6 Effect of Mode Mismatch on an Interferometer 160 5.3 Optical Cavities 162 5.3.1 Classical Description of a Linear Cavity 164 5.3.2 The Special Case of High Reflectivities 169 5.3.3 The Phase Response 170 5.3.4 Spatial Properties of Cavities 172 5.3.4.1 Mode Matching 172 5.3.4.2 Polarization 174 5.3.4.3 Tunable Mirrors 175 5.3.5 Equations of Motion for the Cavity Mode 175 5.3.6 The Quantum Equations of Motion for a Cavity 176 5.3.7 The Propagation of Fluctuations Through the Cavity 177 5.3.8 Single Photons Through a Cavity 180 5.3.9 Multimode Cavities 181 5.3.10 Engineering Beamsplitters, Interferometers, and Resonators 182 5.4 Other Optical Components 184 5.4.1 Lenses 184 5.4.2 Holograms and Metasurfaces 185 5.4.3 Crystals and Polarizers 187 5.4.4 Optical Fibres and Waveguides 188 5.4.5 Modulators 189 5.4.5.1 Phase and Amplitude Modulators 191 5.4.6 Spatial Light Modulators 193 5.4.7 Optical Noise Sources 195 5.4.8 Non-linear Processes 195 References 196 6 Lasers and Amplifiers 199 6.1 The Laser Concept 199 6.1.1 Technical Specifications of a Laser 201 6.1.2 Rate Equations 203 6.1.3 Quantum Model of a Laser 207 6.1.4 Examples of Lasers 209 6.1.4.1 Classes of Lasers 209 6.1.4.2 Dye Lasers and Argon Ion Lasers 209 6.1.4.3 The CW Nd: YAG Laser 210 6.1.4.4 Diode Lasers 213 6.1.4.5 Limits of the Single-Mode Approximation in Diode Lasers 213 6.1.5 Laser Phase Noise 214 6.1.6 Pulsed Lasers 215 6.2 Amplification of Optical Signals 215 6.3 Parametric Amplifiers and Oscillators 218 6.3.1 The Second-Order Non-linearity 219 6.3.2 Parametric Amplification 220 6.3.3 Optical Parametric Oscillator 221 6.3.3.1 Noise Spectrum of the Parametric Oscillator 222 6.3.4 Pair Production 223 6.4 Measurement-Based Amplifiers 224 6.4.1 Deterministic Measurement-Based Amplifiers 225 6.4.2 Heralded Measurement-Based Amplifiers 228 6.5 Summary 230 References 231 7 Photon Generation and Detection 233 7.1 Photon Sources 236 7.1.1 Deterministic Photon Sources 239 7.2 Photon Detection 240 7.2.1 Detecting Individual Photons 240 7.2.1.1 Photochemical Detectors 241 7.2.1.2 Photoelectric Detectors 241 7.2.1.3 Photo-thermal Detectors 243 7.2.1.4 Multipixel and Imaging Devices 243 7.2.2 Recording Electrical Signals from Individual Photons 245 7.3 Generating, Detecting, and Analysing Photocurrents 247 7.3.1 Properties of Photocurrents 247 7.3.1.1 Beat Measurements 247 7.3.1.2 Intensity Noise and the Shot Noise Level 248 7.3.1.3 Quantum Efficiency 249 7.3.1.4 Photodetector Materials 250 7.3.2 Generating Photocurrents 251 7.3.2.1 Photodiodes and Detector Circuit 251 7.3.2.2 Amplifiers and Electronic Noise 252 7.3.2.3 Detector Saturation 254 7.3.3 Recording of Photocurrents 255 7.3.4 Spectral Analysis of Photocurrents 257 7.3.4.1 Digital Fourier Transform 257 7.3.4.2 Analogue Fourier Transform 258 7.3.4.3 From Optical Sidebands to the Current Spectrum 258 7.3.4.4 The Operation of an Electronic Spectrum Analyser 259 7.3.4.5 Detecting Signal and Noise Independently 260 7.3.4.6 The Decibel Scale 261 7.3.4.7 Adding Electronic AC Signals 262 7.4 Imaging with Photons 263 References 264 Further Reading 267 8 Quantum Noise: Basic Measurements and Techniques 269 8.1 Detection and Calibration of Quantum Noise 269 8.1.1 Direct Detection and Calibration 269 8.1.1.1 White Light Calibration 273 8.1.2 Balanced Detection 273 8.1.3 Detection of Intensity Modulation and SNR 275 8.1.4 Homodyne Detection 275 8.1.4.1 The Homodyne Detector for Classical Waves 275 8.1.5 Heterodyne Detection 279 8.1.5.1 Measuring Other Properties 280 8.2 Intensity Noise 281 8.2.1 Laser Noise 281 8.3 The Intensity Noise Eater 282 8.3.1 Classical Intensity Control 282 8.3.2 Quantum Noise Control 285 8.3.2.1 Practical Consequences 289 8.4 Frequency Stabilization and Locking of Cavities 290 8.4.1 Pound–Drever–Hall Locking 292 8.4.2 Tilt Locking 293 8.4.3 The PID Controller 294 8.4.4 How to Mount a Mirror 295 8.4.5 The Extremes of Mirror Suspension: GW Detectors 296 8.5 Injection Locking 296 References 299 9 Squeezed Light 303 9.1 The Concept of Squeezing 303 9.1.1 Tools for Squeezing: Two Simple Examples 303 9.1.1.1 The Kerr Effect 304 9.1.1.2 Four-Wave Mixing 307 9.1.2 Properties of Squeezed States 310 9.1.2.1 What Are the Uses of These Various Types of Squeezed Light? 312 9.2 Quantum Model of Squeezed States 314 9.2.1 The Formal Definition of a Squeezed State 314 9.2.2 The Generation of Squeezed States 317 9.2.3 Squeezing as Correlations Between Noise Sidebands 319 9.3 Detecting Squeezed Light 322 9.3.1 Detecting Amplitude Squeezed Light 322 9.3.2 Detecting Quadrature Squeezed Light 322 9.3.3 Using a Cavity to Measure Quadrature Squeezing 324 9.3.4 Summary of Different Representations of Squeezed States 325 9.3.5 Propagation of Squeezed Light 325 9.4 Early Demonstrations of Squeezed Light 330 9.4.1 Four Wave Mixing 330 9.4.2 Optical Parametric Processes 333 9.4.3 Second Harmonic Generation 339 9.4.4 The Kerr Effect 343 9.4.4.1 The Response of the Kerr Medium 343 9.4.4.2 Optimizing the Kerr Effect 345 9.4.4.3 Fibre Kerr Squeezing 346 9.4.4.4 Atomic Kerr Squeezing 348 9.4.4.5 Atomic Polarization Self-Rotation 349 9.5 Pulsed Squeezing 349 9.5.1 Quantum Noise of Optical Pulses 349 9.5.2 Pulsed Squeezing Experiments with Kerr Media 352 9.5.3 Pulsed SHG and OPO Experiments 353 9.5.4 Soliton Squeezing 354 9.5.5 Spectral Filtering 355 9.5.6 Non-linear Interferometers 356 9.6 Amplitude Squeezed Light from Diode Lasers 358 9.7 Quantum State Tomography 360 9.8 State of the Art of CW Squeezing 363 9.9 Squeezing of Multiple Modes 365 9.9.1 Twin-Photon Beams 365 9.9.2 Polarization Squeezing 367 9.9.3 Degenerate Multimode Squeezers 368 9.10 Summary: Quantum Limits and Enhancement 370 References 371 Further Reading 376 10 Applications of Quantum Light 377 10.1 Quantum Enhanced Sensors 377 10.1.1 Coherent Sensors and Sensitivity Scaling 377 10.1.2 Practical Examples of Sensors 380 10.1.3 Ultimate Sensing Limits 382 10.1.4 Adaptive Phase Estimation 384 10.2 Optical Communication 384 10.3 Gravitational Wave Detection 389 10.3.1 The Origin and Properties of GW 389 10.3.1.1 Concept and Design of an Optical GW Detector 392 10.3.2 Quantum Properties of the Ideal Interferometer 393 10.3.2.1 Configurations of Interferometers 396 10.3.2.2 Recycling 397 10.3.2.3 Modulation Techniques 398 10.3.3 The Sensitivity of GW Observatories 400 10.3.3.1 Enhancement Below the SQL 402 10.3.4 Interferometry with Squeezed Light 405 10.3.4.1 Quantum Enhancement Beyond the SQL 410 10.4 Quantum Enhanced Imaging 411 10.4.1 Imaging with Photons on Demand 411 10.4.2 Quantum Enhanced Coincidence Imaging 412 10.5 Multimode Squeezing Enhancing Sensors 414 10.5.1 Spatial Multimode Squeezing 414 10.6 Summary and Outlook 419 References 419 11 QND 425 11.1 QND Measurements of Quadrature Amplitudes 425 11.2 Classification of QND Measurements 427 11.3 Experimental Results 430 11.4 Single-Photon QND 432 11.4.1 Measurement-Based QND 434 References 437 12 Fundamental Tests of Quantum Mechanics 441 12.1 Wave–Particle Duality 441 12.2 Indistinguishability 446 12.3 Non-locality 453 12.3.1 Einstein–Podolsky–Rosen Paradox 453 12.3.2 Characterization of Entangled Beams via Homodyne Detection 458 12.3.2.1 Logarithmic Negativity and Two-Mode Squeezing 459 12.3.2.2 Entanglement of Formation 460 12.3.3 Bell Inequalities 461 12.3.3.1 Long-Distance Bell Inequality Violations 466 12.3.3.2 Loophole-Free Bell Inequality Violations 466 12.4 Summary 468 References 468 13 Quantum Information 473 13.1 Photons as Qubits 473 13.1.1 Other Quantum Encodings 475 13.2 Post-selection and Coincidence Counting 475 13.3 True Single-Photon Sources 477 13.3.1 Heralded Single Photons 477 13.3.2 Single Photons on Demand 480 13.4 Characterizing Photonic Qubits 482 13.5 Quantum Key Distribution 484 13.5.1 QKD Using Single Photons 485 13.5.2 QKD Using Continuous Variables 489 13.5.3 No Cloning 492 13.6 Teleportation 492 13.6.1 Teleportation of Photon Qubits 493 13.6.2 Continuous Variable Teleportation 495 13.6.3 Entanglement Swapping 502 13.6.4 Entanglement Distillation 502 13.7 Quantum Computation 505 13.7.1 Dual-Rail Quantum Computing 506 13.7.1.1 Quantum Circuits with Linear Optics 507 13.7.1.2 Cluster States 511 13.7.1.3 Quantum Gates with Non-linear Optics 513 13.7.2 Single-Rail Quantum Computation 514 13.7.2.1 Quantum Random Walks 515 13.7.2.2 Boson Sampling 516 13.7.3 Continuous Variable Quantum Computation 518 13.7.3.1 Cat State Quantum Computing 519 13.7.3.2 Continuous Variable Cluster States 521 13.7.4 Large-Scale Quantum Computation 522 13.8 Summary 525 References 526 Further Reading 531 14 The Future: From Q-demonstrations to Q-technologies 533 14.1 Demonstrating Quantum Effects 533 14.2 Matter Waves and Atoms 535 14.3 Q-Technology Based on Optics 537 14.3.1 Applications of Squeezed Light 537 14.3.2 Quantum Communication and Logic with Photons 539 14.3.3 Cavity QED 542 14.3.4 Extending to Other Wavelengths: Microwaves and Cryogenic Circuits 542 14.3.5 Quantum Optomechanics 542 14.3.6 Transfer of Quantum Information Between Different Physical Systems 543 14.3.7 Transferring and Storing Quantum States 544 14.4 Outlook 544 References 545 Further Reading 547 Appendices 549 Appendix A: List of Quantum Operators, States, and Functions 549 Appendix B: Calculation of the Quantum Properties of a Feedback Loop 551 Appendix C: Detection of Signal and Noise with an ESA 552 Reference 554 Appendix D: An Example of Analogue Processing of Photocurrents 554 Appendix E: Symbols and Abbreviations 556 Index 559

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Book SynopsisThis modern textbook offers an introduction to Quantum Mechanics as a theory that underlies the world around us, from atoms and molecules to materials, lasers, and other applications. The main features of the book are: Emphasis on the key principles with minimal mathematical formalism Demystifying discussions of the basic features of quantum systems, using dimensional analysis and order-of-magnitude estimates to develop intuition Comprehensive overview of the key concepts of quantum chemistry and the electronic structure of solids Extensive discussion of the basic processes and applications of light-matter interactions Online supplement with advanced theory, multiple-choice quizzes, etc. Table of ContentsForeword xix Preface xxiii Editors’ Note xxvii Part I Fundamental Principles 1 1 The Principle of Wave–Particle Duality: An Overview 3 1.1 Introduction 3 1.2 The Principle of Wave–Particle Duality of Light 4 1.2.1 The Photoelectric Effect 4 1.2.2 The Compton Effect 7 1.2.3 A Note on Units 10 1.3 The Principle of Wave–Particle Duality of Matter 11 1.3.1 From Frequency Quantization in Classical Waves to Energy Quantization in Matter Waves: The Most Important General Consequence of Wave–Particle Duality of Matter 12 1.3.2 The Problem of Atomic Stability under Collisions 13 1.3.3 The Problem of Energy Scales: Why Are Atomic Energies on the Order of eV, While Nuclear Energies Are on the Order of MeV? 15 1.3.4 The Stability of Atoms and Molecules Against External Electromagnetic Radiation 17 1.3.5 The Problem of Length Scales: Why Are Atomic Sizes on the Order of Angstroms, While Nuclear Sizes Are on the Order of Fermis? 19 1.3.6 The Stability of Atoms Against Their Own Radiation: Probabilistic Interpretation of Matter Waves 21 1.3.7 How Do Atoms Radiate after All? Quantum Jumps from Higher to Lower Energy States and Atomic Spectra 22 1.3.8 Quantized Energies and Atomic Spectra: The Case of Hydrogen 25 1.3.9 Correct and Incorrect Pictures for the Motion of Electrons in Atoms: Revisiting the Case of Hydrogen 25 1.3.10 The Fine Structure Constant and Numerical Calculations in Bohr’s Theory 29 1.3.11 Numerical Calculations with Matter Waves: Practical Formulas and Physical Applications 31 1.3.12 A Direct Confirmation of the Existence of Matter Waves: The Davisson–Germer Experiment 33 1.3.13 The Double-Slit Experiment: Collapse of the Wavefunction Upon Measurement 34 1.4 Dimensional Analysis and Quantum Physics 41 1.4.1 The Fundamental Theorem and a Simple Application 41 1.4.2 Blackbody Radiation Using Dimensional Analysis 44 1.4.3 The Hydrogen Atom Using Dimensional Analysis 47 2 The Schrödinger Equation and Its Statistical Interpretation 53 2.1 Introduction 53 2.2 The Schrödinger Equation 53 2.2.1 The Schrödinger Equation for Free Particles 54 2.2.2 The Schrödinger Equation in an External Potential 57 2.2.3 Mathematical Intermission I: Linear Operators 58 2.3 Statistical Interpretation of Quantum Mechanics 60 2.3.1 The “Particle–Wave” Contradiction in Classical Mechanics 60 2.3.2 Statistical Interpretation 61 2.3.3 Why Did We Choose P(x) = |𝜓(x)| 2 as the Probability Density? 62 2.3.4 Mathematical Intermission II: Basic Statistical Concepts 63 2.3.4.1 Mean Value 63 2.3.4.2 Standard Deviation (or Uncertainty) 65 2.3.5 Position Measurements: Mean Value and Uncertainty 67 2.4 Further Development of the Statistical Interpretation: The Mean-Value Formula 71 2.4.1 The General Formula for the Mean Value 71 2.4.2 The General Formula for Uncertainty 73 2.5 Time Evolution of Wavefunctions and Superposition States 77 2.5.1 Setting the Stage 77 2.5.2 Solving the Schrödinger Equation. Separation of Variables 78 2.5.3 The Time-Independent Schrödinger Equation as an Eigenvalue Equation: Zero-Uncertainty States and Superposition States 81 2.5.4 Energy Quantization for Confined Motion: A Fundamental General Consequence of Schrödinger’s Equation 85 2.5.5 The Role of Measurement in Quantum Mechanics: Collapse of the Wavefunction Upon Measurement 86 2.5.6 Measurable Consequences of Time Evolution: Stationary and Nonstationary States 91 2.6 Self-Consistency of the Statistical Interpretation and the Mathematical Structure of Quantum Mechanics 95 2.6.1 Hermitian Operators 95 2.6.2 Conservation of Probability 98 2.6.3 Inner Product and Orthogonality 99 2.6.4 Matrix Representation of Quantum Mechanical Operators 101 2.7 Summary: Quantum Mechanics in a Nutshell 103 3 The Uncertainty Principle 107 3.1 Introduction 107 3.2 The Position–Momentum Uncertainty Principle 108 3.2.1 Mathematical Explanation of the Principle 108 3.2.2 Physical Explanation of the Principle 109 3.2.3 Quantum Resistance to Confinement. A Fundamental Consequence of the Position– omentum Uncertainty Principle 112 3.3 The Time–Energy Uncertainty Principle 114 3.4 The Uncertainty Principle in the Classical Limit 118 3.5 General Investigation of the Uncertainty Principle 119 3.5.1 Compatible and Incompatible Physical Quantities and the Generalized Uncertainty Relation 119 3.5.2 Angular Momentum: A Different Kind of Vector 122 Part II Simple Quantum Systems 127 4 Square Potentials. I: Discrete Spectrum—Bound States 129 4.1 Introduction 129 4.2 Particle in a One-Dimensional Box: The Infinite Potential Well 132 4.2.1 Solution of the Schrödinger Equation 132 4.2.2 Discussion of the Results 134 4.2.2.1 Dimensional Analysis of the Formula En = (ℏ2𝜋2∕2mL2)n2. Do We Need an Exact Solution to Predict the Energy Dependence on ℏ, m, and L? 135 4.2.2.2 Dependence of the Ground-State Energy on ℏ, m, and L : The Classical Limit 136 4.2.2.3 The Limit of Large Quantum Numbers and Quantum Discontinuities 137 4.2.2.4 The Classical Limit of the Position Probability Density 138 4.2.2.5 Eigenfunction Features: Mirror Symmetry and the Node Theorem 139 4.2.2.6 Numerical Calculations in Practical Units 139 4.3 The Square Potential Well 140 4.3.1 Solution of the Schrödinger Equation 140 4.3.2 Discussion of the Results 143 4.3.2.1 Penetration into Classically Forbidden Regions 143 4.3.2.2 Penetration in the Classical Limit 144 4.3.2.3 The Physics and “Numerics” of the Parameter 𝜆 145 5 Square Potentials. II: Continuous Spectrum—Scattering States 149 5.1 Introduction 149 5.2 The Square Potential Step: Reflection and Transmission 150 5.2.1 Solution of the Schrödinger Equation and Calculation of the Reflection Coefficient 150 5.2.2 Discussion of the Results 153 5.2.2.1 The Phenomenon of Classically Forbidden Reflection 153 5.2.2.2 Transmission Coefficient in the “Classical Limit” of High Energies 154 5.2.2.3 The Reflection Coefficient Depends neither on Planck’s Constant nor on the Mass of the Particle: Analysis of a Paradox 154 5.2.2.4 An Argument from Dimensional Analysis 155 5.3 Rectangular Potential Barrier: Tunneling Effect 156 5.3.1 Solution of the Schrödinger Equation 156 5.3.2 Discussion of the Results 158 5.3.2.1 Crossing a Classically Forbidden Region: The Tunneling Effect 158 5.3.2.2 Exponential Sensitivity of the Tunneling Effect to the Energy of the Particle 159 5.3.2.3 A Simple Approximate Expression for the Transmission Coefficient 160 5.3.2.4 Exponential Sensitivity of the Tunneling Effect to the Mass of the Particle 162 5.3.2.5 A Practical Formula for T 163 6 The Harmonic Oscillator 167 6.1 Introduction 167 6.2 Solution of the Schrödinger Equation 169 6.3 Discussion of the Results 177 6.3.1 Shape of Wavefunctions. Mirror Symmetry and the Node Theorem 178 6.3.2 Shape of Eigenfunctions for Large n: The Classical Limit 179 6.3.3 The Extreme Anticlassical Limit of the Ground State 180 6.3.4 Penetration into Classically Forbidden Regions: What Fraction of Its “Lifetime” Does the Particle “Spend” in the Classically Forbidden Region? 181 6.3.5 A Quantum Oscillator Never Rests: Zero-Point Energy 182 6.3.6 Equidistant Eigenvalues and Emission of Radiation from a Quantum Harmonic Oscillator 184 6.4 A Plausible Question: Can We Use the Polynomial Method to Solve Potentials Other than the Harmonic Oscillator? 187 7 The Polynomial Method: Systematic Theory and Applications 191 7.1 Introduction: The Power-Series Method 191 7.2 Sufficient Conditions for the Existence of Polynomial Solutions: Bidimensional Equations 194 7.3 The Polynomial Method in Action: Exact Solution of the Kratzer and Morse Potentials 197 7.4 Mathematical Afterword 202 8 The Hydrogen Atom. I: Spherically Symmetric Solutions 207 8.1 Introduction 207 8.2 Solving the Schrödinger Equation for the Spherically Symmetric Eigenfunctions 209 8.2.1 A Final Comment: The System of Atomic Units 216 8.3 Discussion of the Results 217 8.3.1 Checking the Classical Limit ℏ → 0 or m → ∞ for the Ground State of the Hydrogen Atom 217 8.3.2 Energy Quantization and Atomic Stability 217 8.3.3 The Size of the Atom and the Uncertainty Principle: The Mystery of Atomic Stability from Another Perspective 218 8.3.4 Atomic Incompressibility and the Uncertainty Principle 221 8.3.5 More on the Ground State of the Atom. Mean and Most Probable Distance of the Electron from the Nucleus 221 8.3.6 Revisiting the Notion of “Atomic Radius”: How Probable is It to Find the Electron Within the “Volume” that the Atom Supposedly Occupies? 222 8.3.7 An Apparent Paradox: After All, Where Is It Most Likely to Find the Electron? Near the Nucleus or One Bohr Radius Away from It? 223 8.3.8 What Fraction of Its Time Does the Electron Spend in the Classically Forbidden Region of the Atom? 223 8.3.9 Is the Bohr Theory for the Hydrogen Atom Really Wrong? Comparison with Quantum Mechanics 225 8.4 What Is the Electron Doing in the Hydrogen Atom after All? A First Discussion on the Basic Questions of Quantum Mechanics 226 9 The Hydrogen Atom. II: Solutions with Angular Dependence 231 9.1 Introduction 231 9.2 The Schrödinger Equation in an Arbitrary Central Potential: Separation of Variables 232 9.2.1 Separation of Radial from Angular Variables 232 9.2.2 The Radial Schrödinger Equation: Physical Interpretation of the Centrifugal Term and Connection to the Angular Equation 235 9.2.3 Solution of the Angular Equation: Eigenvalues and Eigenfunctions of Angular Momentum 237 9.2.3.1 Solving the Equation for Φ 238 9.2.3.2 Solving the Equation for Θ 239 9.2.4 Summary of Results for an Arbitrary Central Potential 243 9.3 The Hydrogen Atom 246 9.3.1 Solution of the Radial Equation for the Coulomb Potential 246 9.3.2 Explicit Construction of the First Few Eigenfunctions 249 9.3.2.1 n = 1 : The Ground State 250 9.3.2.2 n = 2 : The First Excited States 250 9.3.3 Discussion of the Results 254 9.3.3.1 The Energy-Level Diagram 254 9.3.3.2 Degeneracy of the Energy Spectrum for a Coulomb Potential: Rotational and Accidental Degeneracy 255 9.3.3.3 Removal of Rotational and Hydrogenic Degeneracy 257 9.3.3.4 The Ground State is Always Nondegenerate and Has the Full Symmetry of the Problem 257 9.3.3.5 Spectroscopic Notation for Atomic States 258 9.3.3.6 The “Concept” of the Orbital: s and p Orbitals 258 9.3.3.7 Quantum Angular Momentum: A Rather Strange Vector 261 9.3.3.8 Allowed and Forbidden Transitions in the Hydrogen Atom: Conservation of Angular Momentum and Selection Rules 263 10 Atoms in a Magnetic Field and the Emergence of Spin 267 10.1 Introduction 267 10.2 Atomic Electrons as Microscopic Magnets: Magnetic Moment and Angular Momentum 270 10.3 The Zeeman Effect and the Evidence for the Existence of Spin 274 10.4 The Stern–Gerlach Experiment: Unequivocal Experimental Confirmation of the Existence of Spin 278 10.4.1 Preliminary Investigation: A Plausible Theoretical Description of Spin 278 10.4.2 The Experiment and Its Results 280 10.5 What is Spin? 284 10.5.1 Spin is No Self-Rotation 284 10.5.2 How is Spin Described Quantum Mechanically? 285 10.5.3 What Spin Really Is 291 10.6 Time Evolution of Spin in a Magnetic Field 292 10.7 Total Angular Momentum of Atoms: Addition of Angular Momenta 295 10.7.1 The Eigenvalues 295 10.7.2 The Eigenfunctions 300 11 Identical Particles and the Pauli Principle 305 11.1 Introduction 305 11.2 The Principle of Indistinguishability of Identical Particles in Quantum Mechanics 305 11.3 Indistinguishability of Identical Particles and the Pauli Principle 306 11.4 The Role of Spin: Complete Formulation of the Pauli Principle 307 11.5 The Pauli Exclusion Principle 310 11.6 Which Particles Are Fermions and Which Are Bosons 314 11.7 Exchange Degeneracy: The Problem and Its Solution 317 Part III Quantum Mechanics in Action: The Structure of Matter 321 12 Atoms: The Periodic Table of the Elements 323 12.1 Introduction 323 12.2 Arrangement of Energy Levels in Many-Electron Atoms: The Screening Effect 324 12.3 Quantum Mechanical Explanation of the Periodic Table: The “Small Periodic Table” 327 12.3.1 Populating the Energy Levels: The Shell Model 328 12.3.2 An Interesting “Detail”: The Pauli Principle and Atomic Magnetism 329 12.3.3 Quantum Mechanical Explanation of Valence and Directionality of Chemical Bonds 331 12.3.4 Quantum Mechanical Explanation of Chemical Periodicity: The Third Row of the Periodic Table 332 12.3.5 Ionization Energy and Its Role in Chemical Behavior 334 12.3.6 Examples 338 12.4 Approximate Calculations in Atoms: Perturbation Theory and the Variational Method 341 12.4.1 Perturbation Theory 342 12.4.2 Variational Method 346 13 Molecules. I: Elementary Theory of the Chemical Bond 351 13.1 Introduction 351 13.2 The Double-Well Model of Chemical Bonding 352 13.2.1 The Symmetric Double Well 352 13.2.2 The Asymmetric Double Well 356 13.3 Examples of Simple Molecules 360 13.3.1 The Hydrogen Molecule H2 360 13.3.2 The Helium “Molecule” He2 363 13.3.3 The Lithium Molecule Li2 364 13.3.4 The Oxygen Molecule O2 364 13.3.5 The Nitrogen Molecule N2 366 13.3.6 The Water Molecule H2O 367 13.3.7 Hydrogen Bonds: From the Water Molecule to Biomolecules 370 13.3.8 The Ammonia Molecule NH3 373 13.4 Molecular Spectra 377 13.4.1 Rotational Spectrum 378 13.4.2 Vibrational Spectrum 382 13.4.3 The Vibrational–Rotational Spectrum 385 14 Molecules. II: The Chemistry of Carbon 393 14.1 Introduction 393 14.2 Hybridization: The First Basic Deviation from the Elementary Theory of the Chemical Bond 393 14.2.1 The CH4 Molecule According to the Elementary Theory: An Erroneous Prediction 393 14.2.2 Hybridized Orbitals and the CH4 Molecule 395 14.2.3 Total and Partial Hybridization 401 14.2.4 The Need for Partial Hybridization: The Molecules C2H4, C2H2, and C2H6 404 14.2.5 Application of Hybridization Theory to Conjugated Hydrocarbons 408 14.2.6 Energy Balance of Hybridization and Application to Inorganic Molecules 409 14.3 Delocalization: The Second Basic Deviation from the Elementary Theory of the Chemical Bond 414 14.3.1 A Closer Look at the Benzene Molecule 414 14.3.2 An Elementary Theory of Delocalization: The Free-Electron Model 417 14.3.3 LCAO Theory for Conjugated Hydrocarbons. I: Cyclic Chains 418 14.3.4 LCAO Theory for Conjugated Hydrocarbons. II: Linear Chains 424 14.3.5 Delocalization on Carbon Chains: General Remarks 427 14.3.6 Delocalization in Two-dimensional Arrays of p Orbitals: Graphene and Fullerenes 429 15 Solids: Conductors, Semiconductors, Insulators 439 15.1 Introduction 439 15.2 Periodicity and Band Structure 439 15.3 Band Structure and the “Mystery of Conductivity.” Conductors, Semiconductors, Insulators 441 15.3.1 Failure of the Classical Theory 441 15.3.2 The Quantum Explanation 443 15.4 Crystal Momentum, Effective Mass, and Electron Mobility 447 15.5 Fermi Energy and Density of States 453 15.5.1 Fermi Energy in the Free-Electron Model 453 15.5.2 Density of States in the Free-Electron Model 457 15.5.3 Discussion of the Results: Sharing of Available Space by the Particles of a Fermi Gas 460 15.5.4 A Classic Application: The “Anomaly” of the Electronic Specific Heat of Metals 463 16 Matter and Light: The Interaction of Atoms with Electromagnetic Radiation 469 16.1 Introduction 469 16.2 The Four Fundamental Processes: Resonance, Scattering, Ionization, and Spontaneous Emission 471 16.3 Quantitative Description of the Fundamental Processes: Transition Rate, Effective Cross Section, Mean Free Path 473 16.3.1 Transition Rate: The Fundamental Concept 473 16.3.2 Effective Cross Section and Mean Free Path 475 16.3.3 Scattering Cross Section: An Instructive Example 476 16.4 Matter and Light in Resonance. I: Theory 478 16.4.1 Calculation of the Effective Cross Section: Fermi’s Rule 478 16.4.2 Discussion of the Result: Order-of-Magnitude Estimates and Selection Rules 481 16.4.3 Selection Rules: Allowed and Forbidden Transitions 483 16.5 Matter and Light in Resonance. II: The Laser 487 16.5.1 The Operation Principle: Population Inversion and the Threshold Condition 487 16.5.2 Main Properties of Laser Light 491 16.5.2.1 Phase Coherence 491 16.5.2.2 Directionality 491 16.5.2.3 Intensity 491 16.5.2.4 Monochromaticity 492 16.6 Spontaneous Emission 494 16.7 Theory of Time-dependent Perturbations: Fermi’s Rule 499 16.7.1 Approximate Calculation of Transition Probabilities Pn→m(t) for an Arbitrary “Transient” Perturbation V(t) 499 16.7.2 The Atom Under the Influence of a Sinusoidal Perturbation: Fermi’s Rule for Resonance Transitions 503 16.8 The Light Itself: Polarized Photons and Their Quantum Mechanical Description 511 16.8.1 States of Linear and Circular Polarization for Photons 511 16.8.2 Linear and Circular Polarizers 512 16.8.3 Quantum Mechanical Description of Polarized Photons 513 Online Supplement 1 The Principle of Wave–Particle Duality: An Overview OS1.1 Review Quiz OS1.1 Determining Planck’s Constant from Everyday Observations 2 The Schrödinger Equation and Its Statistical Interpretation OS2.1 Review Quiz OS2.2 Further Study of Hermitian Operators: The Concept of the Adjoint Operator OS2.3 Local Conservation of Probability: The Probability Current 3 The Uncertainty Principle OS3.1 Review Quiz OS3.2 Commutator Algebra: Calculational Techniques OS3.3 The Generalized Uncertainty Principle OS3.4 Ehrenfest’s Theorem: Time Evolution of Mean Values and the Classical Limit 4 Square Potentials. I: Discrete Spectrum—Bound States OS4.1 Review Quiz OS4.2 Square Well: A More Elegant Graphical Solution for Its Eigenvalues OS4.3 Deep and Shallow Wells: Approximate Analytic Expressions for Their Eigenvalues 5 Square Potentials. II: Continuous Spectrum—Scattering States OS5.1 Review Quiz OS5.2 Quantum Mechanical Theory of Alpha Decay 6 The Harmonic Oscillator OS6.1 Review Quiz OS6.2 Algebraic Solution of the Harmonic Oscillator: Creation and Annihilation Operators 7 The Polynomial Method: Systematic Theory and Applications OS7.1 Review Quiz OS7.2 An Elementary Method for Discovering Exactly Solvable Potentials OS7.3 Classic Examples of Exactly Solvable Potentials: A Comprehensive List 8 The Hydrogen Atom. I: Spherically Symmetric Solutions OS8.1 Review Quiz 9 The Hydrogen Atom. II: Solutions with Angular Dependence OS9.1 Review Quiz OS9.2 Conservation of Angular Momentum in Central Potentials, and Its Consequences OS9.3 Solving the Associated Legendre Equation on Our Own 10 Atoms in a Magnetic Field and the Emergence of Spin OS10.1 Review Quiz OS10.2 Algebraic Theory of Angular Momentum and Spin 11 Identical Particles and the Pauli Principle OS11.1 Review Quiz OS11.2 Dirac’s Formalism: A Brief Introduction 12 Atoms: The Periodic Table of the Elements OS12.1 Review Quiz OS12.2 Systematic Perturbation Theory: Application to the Stark Effect and Atomic Polarizability 13 Molecules. I: Elementary Theory of the Chemical Bond OS13.1 Review Quiz 14 Molecules. II: The Chemistry of Carbon OS14.1 Review Quiz OS14.2 The LCAO Method and Matrix Mechanics OS14.3 Extension of the LCAO Method for Nonzero Overlap 15 Solids: Conductors, Semiconductors, Insulators OS15.1 Review Quiz OS15.2 Floquet’s Theorem: Mathematical Study of the Band Structure for an Arbitrary Periodic Potential V(x) OS15.3 Compressibility of Condensed Matter: The Bulk Modulus OS15.4 The Pauli Principle and Gravitational Collapse: The Chandrasekhar Limit 16 Matter and Light: The Interaction of Atoms with Electromagnetic Radiation OS16.1 Review Quiz OS16.2 Resonance Transitions Beyond Fermi’s Rule: Rabi Oscillations OS16.3 Resonance Transitions at Radio Frequencies: Nuclear Magnetic Resonance (NMR) Appendix 519 Bibliography 523 Index 527

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Book SynopsisQuantum mechanics and relativity are two important topics of modern physics. This book serves as an introduction to the essential topics in the fields. It is suitable for a one-semester course for undergraduate students.The book is concise and the discussions are easy to follow. Interested students can also used this as a study guide for self-learning.

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Book SynopsisThis book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrödinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.

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Book SynopsisThe book provides a single compact source for undergraduate and graduate students and professional physicists who want to understand the essentials of supersymmetric quantum mechanics (SUSYQM). The text contains a large selection of examples, problems, and solutions that illustrate the fundamentals of SUSYQM and its applications. It is richly illustrated with figures and contains an attractive and relevant list of topics.Table of ContentsTraditional Quantum Mechanics - The Hard Way; Algebraic Solution for the Harmonic Oscillator; Supersymmetric Quantum Mechanics (SUSYQM); Shape Invariance; The Generators of Supersymmetry; Angular Momentum; Dirac Theory and SUSYQM; WKB and SWKB; Scattering in Supersymmetric Quantum Mechanics; Isospectral Deformations; SUSYQM and Quantum Hamilton-Jacobi Theory; Generating Shape Invariant Potentials; Singular Superpotentials.

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Book SynopsisPart of the best-selling '...for Beginners' series that brings to life the wide world of physics. Rather than explaining details about how to do physics, this book focusses on explaining what different branches of physics are about, how we know about them, and what mysteries remain for budding physicists to uncover. It doesn't shy away from the hard stuff, tackling black holes, quantum mechanics and even Einstein's theories of relativity.Table of ContentsWhat is physics?Asking questions?Physics is everywhereWhat do physicists do?Chapter 1: Forces & motionWhat makes things move, what makes things stop, and why some things move faster and easier than others.Chapter 2: WavesHow sounds travel, how light works, and the mysterious connection between electricity and magnetism.Chapter 3: The speed of light and the shape of the universeAlbert Einstein came up with two of the most significant theories in modern physics: special relativity, which explores the speed of light, and general relativity, which unpacks the shape of the universe. But what actually ARE these theories?Chapter 4: Nuclear and particle physicsIntroducing the very smallest things physicists have discovered, and seeing what happens when they try to break those things apart into even smaller pieces. Chapter 5: Quantum mechanicsThe smallest particles don't seem to follow the same rules as bigger things. So what rules do they follow, and why don't they seem to make sense?Chapter 6: SpaceWhat is out there, beyond the Earth? And where exactly did it all come from?Chapter 7: Unsolved mysteriesThere are plenty of things physicists don't understand about how things work, whether on Earth or out in space. Discover some of the mysteries that YOU might help to solve one day.GlossaryIndexAcknowledgments

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Book SynopsisA Nobel Laureate explains quantum entanglement and teleportation and why Einstein was wrong about the nature of realityWhat is the true nature of reality? To find out, Nobel Laureate Anton Zeilinger takes us (along with his fictional students Alice and Bob) on a voyage through a quantum wonderland, explaining entanglement, teleportation, time-travel paradoxes and why our view of the world must change.Originally published in America in 2012, a new Afterword in the light of the author's 2022 Nobel Prize means the book brings readers up-to-date with the most recent developments in quantum teleportation. This describes the author's collaboration to perform the first intercontinental video call encrypted using quantum cryptography, and how Chinese scientists teleported entangled quantum states to an orbiting satellite. Readers also learn how both volunteer humans and astronomical objects billions of light years away have been part of experiments to conclusively prove that quantum states cannot provide a full description of reality at a local level.Einstein had always refused to accept aspects of quantum theory, deriding the notion of instantaneous communication between faraway 'entangled' particles as 'spooky action at a distance'. However, this playful yet deep book takes readers through a series of ingenious experiments conducted in various locations that demonstrate entanglement is indeed real, and speculates that information is an essential part of reality.From a dank sewage tunnel under the River Danube to the balmy air between a pair of mountain peaks in the Canary Islands, with various time-travel paradoxes explained along the way, the author and his fictional physics students Alice and Bob demonstrate the true nature of quantum entanglement and teleportation using photons, or light quanta, created by laser beams. The ideas described have laid the foundations for a new era of quantum technology, including the development of quantum computers and much more.Trade ReviewUsing refined tools and long series of experiments, Anton Zeilinger ... has demonstrated a phenomenon called quantum teleportation, which makes it possible to move a quantum state from one particle to one at a distance ... A new kind of quantum technology is emerging -- The Nobel Prize JudgesDance of the Photons is a delight. The explanations of some of the most subtle and unexpected effects of quantum physics are provided in terms of beautifully simple and charming everyday settings. The true flavour of quantum mechanics is here made accessible, without pain but with considerable good humour -- Sir Roger Penrose, winner of the 2020 Nobel Prize in PhysicsAnton Zeilinger has done more than anyone to unfold the quantum world by fashioning amazing experiments that have allowed nature to speak to us in her own native quantum language. In this clearly and elegantly written book he takes the reader on the journey he and his colleagues have travelled in their interrogations of the quantum world. Along the way he introduces us to the new concept of quantum information and explains its promise to revolutionize how we communicate and compute -- Lee Smolin, Perimeter Institute for Theoretical PhysicsFrom the sewers under Vienna to a whirlwind tour of the great physicists of the twentieth century and their wild ideas, this is a marvellous introduction to the world of quantum physics by one of the most accomplished experimenters working in the field today. Zeilinger takes the reader on a very personal journey while providing a remarkably clear and cogent discussion of the mind-bending world of quantum mechanics and its potential to change the future of technology -- Lawrence M. Krauss, author of "Quantum Man: Richard Feynman's Life in Science"Those seeking an accessible popular account of this fascinating field will find their search over . . . Taking some of the most complex ideas from cutting-edge science, Zeilinger provides simple and clear explanations that in no way compromise the fundamental concepts -- Jeremy L. O'Brian * Science *For more than eighty years the bizarre features of the description of nature at the atomic level given by quantum mechanics have puzzled and fascinated the physics community, but it is only in recent years that many of these features have been verified by experiment. This delightful little book, by one of the world's leading practitioners in this area, explains these recent advances in a way that should be accessible even to readers with no physics background -- Anthony J. Leggett, winner of the 2003 Nobel Prize in PhysicsAn exciting new perspective. He is one of the leading investigators into the foundations and consequences of quantum theory. His long history of intense involvement in the concrete details of making quantum effects visible and measurable in fundamental experiments is reflected in the book, setting it apart from many other popularizations ... Zeilinger writes with wit and clarity, combining humorous dialogue with an admirably serious and thorough treatment of some of the most challenging and fundamental concepts in modern quantum physics. Dance of the Photons is a wonderful resource for general readers who want to delve more deeply into contemporary quantum experiments and their ramifications ... a tour de force of exposition -- Peter Pesic * American Scientist *Anton Zeilinger's exposition of this puzzling subject is clear and vivid, and backed by a voice of authority that could come only from his being a leading experimenter in the field. -- A. Zee, author of "Fearful Symmetry", "Einstein's Universe", and "Quantum Field Theory in a Nutshell"Light is the research focus of Zeilinger, a physicist in Austria who studies photons' ghostly quantum behaviour ... The faster-than-light talent of quantum particles bothered Einstein but excites Zeilinger, who describes the technologies that entanglement could in principle permit, such as quantum computers or quantum teleportation. An innovative presenter of a complicated topic, Zeilinger will appeal to the futurists of the science set -- Gilbert Taylor * Booklist *A rewarding exploration of the weird world of quantum physics ... the author introduces two college freshmen, Bob and Alice, eager for a taste of quantum physics ... Zeilinger uses simple diagrams and cheerful dialogues between Bob and Alice to make a difficult concept somewhat less difficult ... readers who pay close attention will grasp a strange but fascinating scientific principle * Kirkus Reviews *

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Book SynopsisChanges and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.Table of ContentsPart I. Theory: 1. The wave function; 2. Time-independent Schrodinger equation; 3. Formalism; 4. Quantum mechanics in three dimensions; 5. Identical particles; 6. Symmetry; Part II. Application: 7. Time-independent perturbation theory; 8. The variational principle; 9. The WKB approximation; 10. Scattering; 11. Quantum dynamics; 12. Afterword; Appendix A. Linear algebra; Index.

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Book Synopsis''Compulsively readable...Green threatens to do for string theory what Stephen Hawking did for holes'' New York TimesIn this international bestseller, Columbia University professor Brian Greene provides, in layman's terms, a comprehensive demystification of string theory. Greene, one of the world''s leading string theorists, peels away layers of the unknown, through introducing concepts from quantum mechanics to general relativity, to reveal a universe that consists of eleven dimensions. Accessible and enlightening, Greene''s inimitable blend of expert scientific insight and literary ingenuity makes The Elegant Universe an exhilarating read that brings us closer to understanding how our magnificent universe works. Utterly absorbing...a brilliant achievement. An accessible, equationless account of strings' Sunday TelegraphTrade ReviewDevelops one fresh new insight after another... In the great tradition of physicists writing for the masses, The Elegant Universe sets a standard that will be hard to beat * New York Times Book Review *Utterly absorbing...a brilliant achievement. An accessible, equationless account of strings, explaining why they are generating so much excitement among their devotees. Greene's achievement is to make us feel at home in the chillingly abstract world of strings and to convince us that we must take it seriously * Sunday Telegraph *As rewarding as it gets... A thrilling ride through a lovely landscape... A compelling human saga * Los Angeles Times Book Review *Compulsively readable...Green threatens to do for string theory what Stephen Hawking did for holes * New York *[A] tour-de-force of science writing...peels away layers of detail and reveals the stunning essence of cutting-edge physics -- Shing-Tung Yau, Harvard University; Fields Medalist, winner of the National Medal of Science

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Book SynopsisRetaining the successful approach used in Fleisch's other Student's Guides, this accessible resource provides plain language explanations of the key concepts and techniques underlying the Schrödinger equation in quantum mechanics. A companion website hosts additional resources including videos and quizzes to further develop students understanding.Trade Review'… this slender paperback attempts to explicate the somewhat difficult concepts involved in understanding the meaning of the equation. The author intends that the guide serve as an ancillary resource to any of the many textbooks on quantum mechanics. The difficulties associated with this subject arise from the demanding mathematical formalism required and the conceptualization of the solutions to Schrödinger's equation. The book succeeds in explicating the arcane forms used for writing and solving Schrödinger's equation, from operators to matrices to Dirac notations … All discussions are related to a single dimension of space and the time-independent equation. Each chapter includes problems and features many helpful diagrams. Additional features are available to students on the supporting website, including complete solutions to problems and simulations. The book can serve, as intended, as an excellent supplement to a standard text.' N. Sadanand, Choice'This book opens with the mathematics of quantum mechanics. The sense of familiarity makes it a good companion to lecture notes. More importantly, it meticulously explains everything the readers need to know about the fundamentals there is a good discussion on Fourier analysis … it is written for advanced undergraduates, readers with half remembered memories of quantum mechanics, who are still curious about the Schrödinger equation, might appreciate this book as well.' B. Ishak, Contemporary Physics'… the book … presents a remarkably sympathetic portrait …' Maya Maskarinec, Speculum: A Journal of Medieval StudiesTable of ContentsPreface; Acknowledgements; 1. Vectors and functions; 2. Operators and Eigenfunctions; 3. The Schrödinger equation; 4. Solving the Schrödinger equation; 5. Solutions for specific potentials; References; Index.

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Book SynopsisQuantum physics is not mystifying. The implications are mind-bending, and not yet fully understood, but this revolutionary theory is truly illuminating. It stands as the best explanation of the fundamental nature of our world. ‘An authoritative and beautifully written account of the quest to understand quantum theory and the origin of space and time.’ Professor Brian Cox Spanning the history of quantum discoveries, from Einstein and Bohr to the present day, Something Deeply Hidden is the essential guide to the most intriguing subject in science. Acclaimed physicist and writer Sean Carroll debunks the myths, resurrects and reinstates the Many-Worlds interpretation, and presents a new path towards solving the apparent conflict between quantum mechanics and Einstein’s theory of general relativity. In doing so, he fills a gap in the science that has existed for almost a century. A magisterial tour, Something Deeply Hidden encompasses the cosmological and everyday implications of quantum reality and multiple universes. And – finally – it all makes sense. ***** 'Carroll takes us by the hand and with a benign smile and a chatty style, leads us to a place where… at every instant an almost infinite number of copies of you are splitting off to live alternative lives… a wild conceptual ride.' The Sunday Times, BOOKS OF THE YEAR 'Like all great writers, Carroll has the remarkable ability of putting the reader utterly at ease with his lucid and addictive prose. He leads you so gently and comfortably into his quantum world that you quickly forget you are being given access to the most profound ideas about the nature of reality.' Jim Al-Khalili 'Sean Carroll’s immensely enjoyable Something Deeply Hidden brings readers face-to-face with the fundamental quantum weirdness of the universe – or should I say universes? And by the end, you may catch yourself finding quantum weirdness not all that weird.' Jordan EllenbergTrade Review‘Carroll takes us by the hand and with a benign smile and a chatty style, leads us to a place where…at every instant an almost infinite number of copies of you are splitting off to live alternative lives… a wild conceptual ride.’ -- Sunday Times, BOOKS OF THE YEAR‘Tackling huge questions, myths and conundrums about our Universe is no easy task, but Carroll does so elegantly.’ -- BBC Science Focus'An authoritative and beautifully written account of the quest to understand quantum theory and the origin of space and time. Sean Carroll is a rare combination of excellent science writer and excellent research scientist. His writing exhibits a clarity of thought that is only available through a deep understanding of the subject. When the book becomes speculative, as it must because it deals with deep and as yet unsolved questions, we know we are in good hands.' * Brian Cox - Broadcaster and Professor of Particle Physics at the University of Manchester *'Something Deeply Hidden is Carroll’s ambitious and engaging foray into what quantum mechanics really means and what it tells us about physical reality.' -- Science Magazine'As a smart and intensely readable undergraduate class in the history of quantum theory and the nature of quantum mechanics, Something Deeply Hidden could scarcely be improved.' -- Open Letters Monthly * Steve Donoghue *'Readers in this universe (and others?) will relish the opportunity to explore the frontiers of science in the company of titans.' -- Booklist'Fans of popular science authors such as Neil deGrasse Tyson and John Gribbin will find great joy while exploring these groundbreaking concepts.' -- Library Journal'Solid arguments and engaging historical backdrop will captivate science-minded readers everywhere.' -- Scientific Inquirer'Carroll argues with a healthy restlessness that makes his book more interesting than so many others in the quantum physics genre.' -- Forbes'If you want to know why some people take [the Everett] approach seriously and what you can do with it, then Carroll’s latest is one of the best popular books on the market.' -- Physics Today'Be prepared to deal with some equations — and to have your mind blown.' -- Geek Wire'By far the most articulate and cogent defence of the Many-Worlds view in book-length depth with a close connection to the latest ongoing research.' -- Science News'Enlightening and refreshingly bold.' -- Scientific American'What makes Carroll’s new project so worthwhile, though, is that while he is most certainly choosing sides in the debate, he offers us a cogent, clear and compelling guide to the subject while letting his passion for the scientific questions shine through every page.' -- NPR‘Like all great writers, Carroll has the remarkable ability of putting the reader utterly at ease with his lucid and addictive prose. He leads you so gently and comfortably into his quantum world that you quickly forget you are being given access to the most profound ideas about the nature of reality.’ -- Jim Al-Khalili, author of Quantum Mechanics (A Ladybird Expert Book)‘A thrilling tour through what is perhaps humankind’s greatest intellectual achievement – quantum mechanics. With bold clarity, Carroll deftly unmasks quantum weirdness to reveal a strange but utterly wondrous reality.’ -- Brian Greene, author of The Elegant Universe‘Sean Carroll’s immensely enjoyable Something Deeply Hidden brings readers face-to-face with the fundamental quantum weirdness of the universe – or should I say universes? And by the end, you may catch yourself finding quantum weirdness not all that weird.’ -- Jordan Ellenberg, author of How Not to Be Wrong‘Carroll gives us a front-row seat to the development of a new vision of physics: one that connects our everyday experiences to a dizzying hall-of-mirrors universe in which our very sense of self is challenged. It’s a fascinating idea, and one that just might hold clues to a deeper reality.’ -- Katie Mack, theoretical astrophysicist, North Carolina State University, author of The End of Everything (forthcoming)‘Sean Carroll beautifully clarifies the debate about the foundations of quantum mechanics, and champions the most elegant, courageous approach: the astonishing “Many-Worlds” interpretation. His explanations of its pros and cons are clear, even-handed, and philosophically gobsmacking.’ -- Steven Strogatz, author of Infinite Powers‘[A] challenging, provocative book…moving smoothly through different topics and from objects as small as particles to those as enormous as black holes, Carroll’s exploration of quantum theory introduces readers to some of the most groundbreaking ideas in physics today.’ * Publishers Weekly *‘Sean Carroll is always lucid and funny, gratifyingly readable, while still excavating depths… A fascinating and important book.’ -- Janna Levin, author of Black Hole Blues‘Irresistible and an absolute treat to read. While this is a book about some of the deepest current mysteries in physics, it is also a book about metaphysics as Carroll lucidly guides us on how to not only think about the true and hidden nature of reality but also how to make sense of it. I loved this book.’ -- Priyamvada Natarajan, theoretical astrophysicist, Yale University, and author of Mapping the Heavens‘A masterpiece…stands along with Feynman’s QED as one of the two best popularizations of quantum mechanics I’ve ever seen.’ -- Scott Aaronson, Professor of Computer Science, University of Texas at Austin, and Director of UT’s Quantum Information Center‘From physicist Sean Carroll comes a history of quantum discoveries, and a guide to a subject that has baffled and blinded with its potential. Tackling huge questions, myths and conundrums about our Universe is no easy task, but Carroll does so elegantly.’ * BBC Science Focus, 70 best science books you need to read in 2021 *

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Book SynopsisBrilliant and fascinating. No one is better at making the recondite accessible and exciting' Bill BrysonBritain's most famous mathematician takes us to the edge of knowledge to show us what we cannot know.Is the universe infinite?Do we know what happened before the Big Bang?Where is human consciousness located in the brain?And are there more undiscovered particles out there, beyond the Higgs boson?In the modern world, science is king: weekly headlines proclaim the latest scientific breakthroughs and numerous mathematical problems, once indecipherable, have now been solved. But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consuTrade Review‘I felt I was being carried off on a wonderful journey, a thrilling research expedition to the teasing and mysterious boundaries of scientific knowledge, and I never wanted to turn back. Du Sautoy is a masterful and friendly guide to these remotest regions … It is absolutely fascinating throughout, and I really loved it’ Richard Holmes ‘I admire and envy the clarity and authority with which Marcus du Sautoy addresses a range of profound issues. His book deserves a wide readership’ Martin Rees, Astronomer Royal ‘I felt I was being carried off on a wonderful journey, a thrilling research expedition to the teasing and mysterious boundaries of scientific knowledge, and I never wanted to turn back. Du Sautoy is a masterful and friendly guide to these remotest regions … It is absolutely fascinating throughout, and I really loved it’ Richard Holmes ‘I admire and envy the clarity and authority with which Marcus du Sautoy addresses a range of profound issues. His book deserves a wide readership’ Martin Rees, Astronomer Royal ‘Du Sautoy makes a lucid and beguiling companion as he guides us along the byways of contemporary science’ Jonathan Ree, Guardian

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Book Synopsis''A monumental achievement - one of the great scientific biographies.'' Michael FraynThe Strangest Man is the Costa Biography Award-winning account of Paul Dirac, the famous physicist sometimes called the British Einstein. He was one of the leading pioneers of the greatest revolution in twentieth-century science: quantum mechanics. The youngest theoretician ever to win the Nobel Prize for Physics, he was also pathologically reticent, strangely literal-minded and legendarily unable to communicate or empathize. Through his greatest period of productivity, his postcards home contained only remarks about the weather.Based on a previously undiscovered archive of family papers, Graham Farmelo celebrates Dirac''s massive scientific achievement while drawing a compassionate portrait of his life and work. Farmelo shows a man who, while hopelessly socially inept, could manage to love and sustain close friendship.The Strangest Man is an extraordinary and moving human story, as well as a study of one of the most exciting times in scientific history.''A wonderful book . . . Moving, sometimes comic, sometimes infinitely sad, and goes to the roots of what we mean by truth in science.'' Lord Waldegrave, Daily Telegraph

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Book SynopsisPHYSICS WORLD 2018 BOOK OF THE YEAR‘A clear and deeply researched account of what’s known about the quantum laws of nature, and how to think about what they might really mean’ Nature ‘I think I can safely say that nobody understands quantum mechanics.’ Richard Feynman wrote this in 1965 – the year he was awarded the Nobel prize in physics for his work on quantum mechanics. Over the past decade, the enigma of quantum mechanics has come into sharper focus. We now realise that quantum mechanics is less about particles and waves, uncertainty and fuzziness, than a theory about information: about what can be known and how. The quantum world isn’t a different world: it is our world, and if anything deserves to be called ‘weird’, it’s us. This exhilarating book is about what quantum maths really means – and what it doesn’t mean. ‘Gorgeously lucid…takes us to the edge of contemporary theorizing about the foundations of quantum mechanics… Easily the best book I’ve read on the subject’ Washington PostTrade ReviewThis is the book I wish I could have written, but am very glad I've read. It's an accessible, persuasive and thorough appraisal of what the most important theory in all of science actually means. -- Jim Al-KhaliliExcellent. -- Andrew Crumey * Spectator *Ball is an exceptionally talented writer who manages to combine accessibility and thoroughness in razor-sharp prose -- Philip Moriarty * Physics World *Riveting ... Ball is an intelligent guide -- Natalie Wolchover * Nature *A deeply fascinating book … Philip Ball is a rare writer in having such depth of knowledge of a difficult field, yet retaining the critical eye of an observer. Highly recommended. -- Jon Butterworth, Professor of Physics at UCL and author of SMASHING PHYSICS

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Book SynopsisReveals quantum physics as a modern-day spiritual path for awakening and expanding consciousness

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Book SynopsisThis engaging introduction to the latest theoretical advances and experimental discoveries in elementary particle physics, culminating in the development of the 'Standard Model', makes this fascinating subject accessible to undergraduate students and aims at motivating them to study it further.Trade ReviewThis volume offers a comprehensive introduction to the Standard Model of particle physics, which is the best description of strong, weak, and electromagnetic forces available * M. C. Ogilvie, CHOICE *I find this book extremely relevant and interesting. It addresses deep and important issues from a modern perspective * Nathan Seiberg, Institute for Advanced Study, Princeton *The authors have done a fabulous job in orchestrating their discussion of physics: a herculean task, evidently carried out well. Moreover, the way the authors go about this follows the historical development of modern physics, from quantum mechanics, to quantum electrodynamics, to quantum field theory, and of course particle physics and the standard model. Very impressive. * Michael C. Berg, Loyola Marymount University *This is an excellent introduction, at an advanced undergraduate level, to the physics of elementary particles and their mutual interactions. Unlike many books in this subject, it starts from a historical and experimental perspective to illustrate how the present theoretical framework, the Standard Model, came about through a long and fascinating bottom-up process. The book will play an important role in inspiring undergraduate students to undertake graduate studies, or perhaps a career, in theoretical (or experimental) high energy physics. * Gabriele Veneziano, Department of Theoretical Physics, CERN, Professor Emeritus, Collège de France *Table of Contents1: Introduction 2: Quantisation of the Electromagnetic Field and Spontaneous Photon Emission 3: Elements of Classical Field Theory 4: Scattering in Classical and Quantum Physics 5: Elements of Group Theory 6: Particle Physics Phenomenology 7: Relativistic Wave Equations 8: Towards a Relativistic Quantum Mechanics 9: From Classical to Quantum Mechanics 10: From Classical to Quantum Fields: Free Fields 11: Interacting Fields 12: Scattering in Quantum Field Theory 13: Gauge Interactions 14: Spontaneously Broken Symmetries 15: The Principles of Renormalisation 16: The Electromagnetic Interactions 17: Infrared Effects 18: The Weak Interactions 19: A Gauge Theory for the Weak and Electromagnetic Interactions 20: Neutrino Physics 21: The Strong Interactions 22: The Standard Model and Experiment 23: Beyond the Standard Model Free

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Book SynopsisThe greatest challenge for physics is to combine its two most successful theories: general relativity and quantum mechanics. The resulting quantum theory of gravity would explain the universe across all scales. Much has been said about the approach based on string theory. Here, Jim Baggott describes its powerful rival: Loop Quantum Gravity.Trade Review...if you have enjoyed/got through popular science books about such areas as strings and superstrings, time, and the God particle, here is a fine addition to the oeuvre. * Ian Francis, School Science Review *There is no doubt that Jim Baggott is an excellent popular science writer, and Quantum Space is the first complete and approachable account to a quantum theory that delves deep into the quest to resolve one of the great unanswered problems of modern physics: How can general relativity be made compatible with quantum mechanics? Baggott proposes Loop Quantum Gravity, which in our mind is one of the best explanations for anyone who wants to understand more about our puling universe ... It's a triumph. * All About Space Magazine *There's no doubt that Jim Baggott is one of the best popular science writers currently active ... [he] has done a huge favour for anyone who really wants to understand modern theoretical physics, giving a much better understanding of this fascinating attempt to deal with a central requirement to explain the workings of our universe. It's a triumph. * Brian Clegg, popularscience.com *A lucid exposition of loop quantum gravity and the search for the structural space, time and the universe focusing around the work of Lee Smolin and Carlo Rovelli. * David Lorimer, Paradigm Explorer *The discovery and development of Loop Quantum Gravity has been a great adventure. Jim's story beautifully captures its insights and excitement. * Carlo Rovelli, author of Seven Brief Lessons on Physics *Table of ContentsPrefaceProloguePart I: Foundations 1: The Laws of Physics are the Same for Everyone 2: There's No Such Thing as the Force of Gravity 3: Why Nobody Understands Quantum Mechanics 4: Mass Ain't What it Used To Be 5: How to Fudge the Equations of the UniversePart II: Formulation 6: To Get There I Wouldn't Start From Here 7: A Gift From the Devil's Grandmother 8: Our Second or Third Guess Solved the Equations Exactly 9: I Used Every Available Key Ring in Verona 10: Is There Really No Time Like the Present?Part III: Elaborations 11: Gravitons, Holographic Physics and Why Things Fall Down 12: Fermions, Emergent Particles and the Nature of Stuff 13: Relational Quantum Mechanics and Why 'Here' Might Actually be 'Over There' 14: Not With a Bang: the 'Big Bounce', Superinflation and Spinfoam Cosmology 15: Black Hole Entropy, the Information Paradox and Planck Stars 16: Close to the Edge: The Reality of Time and the Principles of the Open FutureEpilogue: A Few Questions, and Some AnswersEndnotesGlossaryBibliography

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Book SynopsisThe hunt for the Higgs particle has involved the biggest, most expensive experiment ever. So exactly what is this particle? Why does it matter so much? What does it tell us about the Universe? Did the discovery announced on 4 July 2012 finish the search? And was finding it really worth all the effort?The short answer is yes. The Higgs field is proposed as the way in which particles gain mass - a fundamental property of matter. It''s the strongest indicator yet that the Standard Model of physics really does reflect the basic building blocks of our Universe. Little wonder the hunt and discovery of this new particle produced such intense media interest.Here, Jim Baggott explains the science behind the discovery, looking at how the concept of a Higgs field was invented, how the vast experiment was carried out, and its implications on our understanding of all mass in the Universe.Trade ReviewA thorough and readable explanation of the lengthy hunt for the Higgs boson and why its discovery last year is so important. * New Scientist *Higgs helps put Higgs' contribution in context ... It's a book I imagine the reticent Higgs would approve of. * Jessica Griggs, New Scientist *a tendency towards brevity and clarity make for a handy guide to the long hunt for an elusive quarry. * Nature *Higgs is an impressive volume, clarifying details, making the concepts that have been in dispute for years finally lucid ... Higgs drills deep under your skin, constantly ferreting out new vistas, easily escaping our eyes. Baggott brings these-and more-together to form a solid concept of the God Particle effort-read it. * San Francisco Book Review *Table of ContentsPREFACE; PROLOGUE: FORM AND SUBSTANCE; 1. INVENTION; 2. DISCOVERY; EPILOGUE: THE CONSTRUCTION OF MASS; ENDNOTES; GLOSSARY; BIBLIOGRAPHY; INDEX

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Book SynopsisThe Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.Trade ReviewThis book is a deep, well-explained and beautiful text on the foundations and applications of quantum mechanics. It is eminently suitable for advanced undergraduates and graduates who wish to study the subject. Some precious jewels can be found within after building up the Dirac representation of quantum mechanics: scattering theory and condensed matter applications, for example. * Ben Allanach, Department of Applied Mathematics and Theoretical Physics, University of Cambridge *The extensive discussion of the physics behind the mathematical manipulations of the theory, coupled with the smooth, colloquial writing style and delightful historical footnotes makes this book somewhat unique in the field. It devotes large sections to the more modern topics of quantum computing and quantum measurement theory, which are active areas of current research. In addition, there is a copious selection of problems, at all levels of difficulty, which should prove extremely useful to anyone teaching the course. * Harold S. Zapolsky, Rutgers University *Binney and Skinners introductory book on quantum mechanics approaches the subject in a unique way ... The text is very well written for the target audience of second or third year University students in Physics, Chemistry, or certain Engineering specialties and I would highly recommend it for anyone who might be considering teaching or tutoring such a course. * Brian Todd Huffman, University of Oxford *Table of Contents1. Introduction ; 2. Operators, measurement and time evolution ; 3. Oscillators ; 4. Transformations & Observables ; 5. Motion in step potentials ; 6. Composite systems ; 7. Angular Momentum ; 8. Hydrogen ; 9. Motion in a magnetic field ; 10. Perturbation theory ; 11. Helium and the periodic table ; 12. Adiabatic principle ; 13. Scattering Theory ; Appendices

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Book SynopsisStrongly recommended by the American Journal of Physics, this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty relations, and the mathematical framework and physical content of formalism. The second half opens with an exploration of symmetries and invariance, including a consideration of angular momentum, identical particles and the Pauli exclusion principle, invariance and conservation laws, and time reversal. Methods of approximation include those involving stationary perturbations, the equation of motion, variational method, and col

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisIf you want to understand (or teach) quantum computing without really advanced maths, this textbook is for you. Written for computer science students, it slices through the layers of mathematics that often surround the topic, and explains the quirks of quantum mechanics using step-by-step examples, exercises and heaps of illustrations.Trade Review'The book has the potential to fill a void that needs to be filled: to bring the excitement of quantum computing to undergraduate computing majors, especially those with modest math backgrounds.' Stephen Fenner, University of South Carolina'… makes for a truly elementary book that a computer science student, with a solid knowledge of vector spaces and linear transformations, should have no difficulty [reading]. Indeed, the authors are so careful in providing the right amount of detail that, to the more experienced student, this book will read almost like a novel. This will also make it a very good textbook for an elementary course on quantum computing … this is a book that I can recommend to anyone with a basic knowledge of linear algebra. … it [will] make a very nice textbook for undergraduate computer scientists and mathematicians …' S. C. Coutinho, SIGACT News'… I found that I could fight my way through much more of the maths than I'd expected, largely because of the clarity of the style and the exemplary use of language. The field of quantum computing is rapidly becoming practical and potentially mainstream - think about the next generation of cryptography, for example. Now is the time to start working on your understanding of the core issues, so that you can teach the next generation of software engineers. Not an easy read, but definitely rewarding … If you aren't scared off by pages with more matrices than words, and you want to be ahead of the game when quantum computing really takes off, this book is for you.' The Times Higher Education Supplement'… explicitly designed to be accessible to students with [a] limited mathematical background and [an] essentially zero quantum physics background. The use of many solved problems ensures that the reader grasps the mathematical essentials needed to grasp the deep concepts explained in the book. … this is a well-structured text which deserves careful consideration from instructors not only engaged with computer science teaching but also those in physics and electronic engineering. … This book will go a long way to helping develop future generations of quantum programmers.' Contemporary Physics'This book presents some of the most exciting and interesting topics in quantum computing. … useful to mathematicians who want to understand the basic concepts and theories of quantum computations.' Mathematical ReviewsTable of Contents1. Complex numbers; 2. Complex vector spaces; 3. The leap from classical to quantum; 4. Basic quantum theory; 5. Architecture; 6. Algorithms; 7. Programming languages; 8. Theoretical computer science; 9. Cryptography; 10. Information theory; 11. Hardware.

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