Quantum physics Books

Book SynopsisFollowing on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics. The three main objectives of the book are to: Explain the basic physics and formalism of quantum field theory To make the reader proficient in theory calculations using Feynman diagrams To introduce the reader to gauge theories, which play a central role in elementary particle physics. Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 - 19) respectively. Problems are provided at the end of each chapter. New to this edition: Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group. The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.Table of ContentsPreface. Notes. 1 Photons and the Electromagnetic Field. 1.1 Particles and Fields. 1.2 The Electromagnetic Field in the Absence of Charges. 1.3 The Electric Dipole Interaction. 1.4 The Electromagnetic Field in the Presence of Charges. 1.5 Appendix: The Schrödinger, Heisenberg and Interaction Pictures. Problems. 2 Lagrangian Field Theory. 2.1 Relativistic Notation. 2.2 Classical Lagrangian Field Theory. 2.3 Quantized Lagrangian Field Theory. 2.4 Symmetries and Conservation Laws. Problems. 3 The Klein-Gordon field. 3.1 The Real Klein-Gordon Field. 3.2 The Complex Klein-Gordon Field. 3.3 Covariant Commutation Relations. 3.4 The Meson Propagator. Problems. 4 The Dirac Field. 4.1 The Number Representation for Fermions. 4.2 The Dirac Equation. 4.3 Second Quantization. 4.4 The Fermion Propagator. 4.5 The Electromagnetic Interaction and Gauge Invariance. Problems. 5 Photons: Covariant Theory. 5.1 The Classical Fields. 5.2 Covariant Quantization. 5.3 The Photon Propagator. Problems. 6 The S-Matrix Expansion. 6.1 Natural Dimensions and Units. 6.2 The S-Matrix Expansion. 6.3 Wick's Theorem. 7 Feynman Diagrams and Rules in QED. 7.1 Feynman Diagrams in Configuration Space. 7.2 Feynman Diagrams in Momentum Space. 7.3 Feynman Rules for QED. 7.4 Leptons. Problems. 8 QED Processes in Lowest Order. 8.1 The Cross-Section. 8.2 Spin Sums. 8.3 Photon Polarization Sums. 8.4 Lepton Pair Production in (e+e-) Collisions. 8.5 Bhabha Scattering. 8.6 Compton Scattering. 8.7 Scattering by an External Field. 8.8 Bremsstrahlung. 8.9 The Infra-Red Divergence. Problems. 9 Radiative Corrections. 9.1 The Second-Order Radiative Corrections of QED. 9.2 The Photon Self-Energy. 9.3 The Electron Self-Energy. 9.4 External Line Renormalization. 9.5 The Vertex Modification. 9.6 Applications. 9.7 The Infra-Red Divergence. 9.8 Higher-Order Radiative Corrections. 9.9 Renomalizability. Problems. 10 Regularization. 10.1 Mathematical Preliminaries. 10.2 Cut-Off Regularization: The Electron Mass Shift. 10.3 Dimensional Regularization. 10.4 Vacuum Polarization. 10.5 The Anomalous Magnetic Moment. Problems. 11 Gauge Theories. 11.1 The Simplest Gauge Theory: QED. 11.2 Quantum Chromodynamics. 11.3 Alternative Interactions?. 11.4 Appendix: Two Gauge Transformation Results. Problems. 12 Field Theory Methods. 12.1 Green Functions. 12.2 Feynman Diagrams and Feynman Rules. 12.3 Relation to S-Matrix Elements. 12.4 Functionals and Grassmann Fields. 12.5 The Generating Functional. Problems. 13 Path Integrals. 13.1 Functional Integration. 13.2 Path Integrals. 13.3 Perturbation Theory. 13.4 Gauge Independent Quantization?. Problems. 14 Quantum Chromodynamics. 14.1 Gluon Fields. 14.2 Including Quarks. 14.3 Perturbation Theory. 14.4 Feynman Rules for QCD. 14.5 Renormalizability of QCD. Problems. 15 Asymptotic Freedom. 15.1 Electron-Positron Annihilation. 15.2 The Renormalization Scheme. 15.3 The Renormalization Group. 15.4 The Strong Coupling Constant. 15.5 Applications. 15.6 Appendix: Some Loop Diagrams in QCD. Problems. 16 Weak Interactions. 16.1 Introduction. 16.2 Leptonic Weak Interactions. 16.3 The Free Vector Boson Field. 16.4 The Feynman Rules for the IVB Theory. 16.5 Decay Rates. 16.6 Applications of the IVB Theory. 16.7 Neutrino Masses. 16.8 Difficulties with the IVB Theory. Problems. 17 A Gauge Theory of Weak Interactions. 17.1 QED Revisited. 17.2 Global Phase Transformations and Conserved Weak Currents. 17.3 The Gauge-Invariant Electro-Weak Interaction. 17.4 Properties of the Gauge Bosons. 17.5 Lepton and Gauge Boson Masses. 18 Spontaneous Symmetry Breaking. 18.1 The Goldstone Model. 18.2 The Higgs Model. 18.3 The Standard Electro-Weak Theory. 19 The Standard Electroweak Theory. 19.1 The Lagrangian Density in the Unitary Gauge. 19.2 Feynman Rules. 19.3 Elastic Neutrino-Electron Scattering. 19.4 Electron-Positron Annihilation. 19.5 The Higgs Boson. Problems. Appendix A The Dirac Equation. Appendix B Feynman Rules and Formulae for Pertubation Therory. Index.

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Book SynopsisTable of ContentsThermal Radiation and Planck's Postulate. Photons--Particlelike Properties of Radiation. De Broglie's Postulate--Wavelike Properties of Particles. Bohr's Model of the Atom. Schroedinger's Theory of Quantum Mechanics. Solutions of Time-Independent Schroedinger Equations. One-Electron Atoms. Magnetic Dipole Moments, Spin, and Transition Rates. Multielectron Atoms--Ground States and X-Ray Excitations. Multielectron Atoms--Optical Excitations. Quantum Statistics. Molecules. Solids--Conductors and Semiconductors. Solids--Superconductors and Magnetic Properties. Nuclear Models. Nuclear Decay and Nuclear Reactions. Introduction to Elementary Particles. More Elementary Particles. Appendixes.

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Book SynopsisIn The Age of Entanglement, Louisa Gilder brings to life one of the pivotal debates in twentieth century physics. In 1935, Albert Einstein famously showed that, according to the quantum theory, separated particles could act as if intimately connected-a phenomenon which he derisively described as “spooky action at a distance.” In that same year, Erwin Schrödinger christened this correlation “entanglement.” Yet its existence was mostly ignored until 1964, when the Irish physicist John Bell demonstrated just how strange this entanglement really was. Drawing on the papers, letters, and memoirs of the twentieth century’s greatest physicists, Gilder both humanizes and dramatizes the story by employing the scientists’ own words in imagined face-to-face dialogues. The result is a richly illuminating exploration of one of the most exciting concepts of quantum physics.

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Book SynopsisThis is the first comprehensive book on the philosophy of time. Leading philosophers discuss the metaphysics of time, our experience and representation of time, the role of time in ethics and action, and philosophical issues in the sciences of time, especially quantum mechanics and relativity theory.Table of ContentsI: TIME AND METAPHYSICS; II: THE DIRECTION OF TIME; III: TIME, ETHICS, AND EXPERIENCE; IV: TIME IN CLASSICAL AND RELATIVISTIC PHYSICS; V: TIME IN A QUANTUM WORLD

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Book SynopsisTrade Review"Recommended."---E. Kincanon, CHOICE

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Book Synopsis1. Mathematical Introduction.- 1.1. Linear Vector Spaces: Basics.- 1.2. Inner Product Spaces.- 1.3. Dual Spaces and the Dirac Notation.- 1.4. Subspaces.- 1.5. Linear Operators.- 1.6. Matrix Elements of Linear Operators.- 1.7. Active and Passive Transformations.- 1.8. The Eigenvalue Problem.- 1.9. Functions of Operators and Related Concepts.- 1.10. Generalization to Infinite Dimensions.- 2. Review of Classical Mechanics.- 2.1. The Principle of Least Action and Lagrangian Mechanics.- 2.2. The Electromagnetic Lagrangian.- 2.3. The Two-Body Problem.- 2.4. How Smart Is a Particle?.- 2.5. The Hamiltonian Formalism.- 2.6. The Electromagnetic Force in the Hamiltonian Scheme.- 2.7. Cyclic Coordinates, Poisson Brackets, and Canonical Transformations.- 2.8. Symmetries and Their Consequences.- 3. All Is Not Well with Classical Mechanics.- 3.1. Particles and Waves in Classical Physics.- 3.2. An Experiment with Waves and Particles (Classical).- 3.3. The Double-Slit Experiment with Light.- 3.4. Matter Waves (de Broglie Waves).- 3.5. Conclusions.- 4. The Postulatesa General Discussion.- 4.1. The Postulates.- 4.2. Discussion of Postulates I -III.- 4.3. The Schrödinger Equation (Dotting Your i's and Crossing your ?'s).- 5. Simple Problems in One Dimension.- 5.1. The Free Particle.- 5.2. The Particle in a Box.- 5.3. The Continuity Equation for Probability.- 5.4. The Single-Step Potential: a Problem in Scattering.- 5.5. The Double-Slit Experiment.- 5.6. Some Theorems.- 6. The Classical Limit.- 7. The Harmonic Oscillator.- 7.1. Why Study the Harmonic Oscillator?.- 7.2. Review of the Classical Oscillator.- 7.3. Quantization of the Oscillator (Coordinate Basis).- 7.4. The Oscillator in the Energy Basis.- 7.5. Passage from the Energy Basis to the X Basis.- 8. The Path Integral Formulation of Quantum Theory.- 8.1. The Path Integral Recipe.- 8.2. Analysis of the Recipe.- 8.3. An Approximation to U(t) for the Free Particle.- 8.4. Path Integral Evaluation of the Free-Particle Propagator.- 8.5. Equivalence to the Schrödinger Equation.- 8.6. Potentials of the Form V=a + bx + cx2 + d? + ex?.- 9. The Heisenberg Uncertainty Relations.- 9.1. Introduction.- 9.2. Derivation of the Uncertainty Relations.- 9.3. The Minimum Uncertainty Packet.- 9.4. Applications of the Uncertainty Principle.- 9.5. The Energy-Time Uncertainty Relation.- 10. Systems with N Degrees of Freedom.- 10.1. N Particles in One Dimension.- 10.2. More Particles in More Dimensions.- 10.3. Identical Particles.- 11. Symmetries and Their Consequences.- 11.1. Overview.- 11.2. Translational Invariance in Quantum Theory.- 11.3. Time Translational Invariance.- 11.4. Parity Invariance.- 11.5. Time-Reversal Symmetry.- 12. Rotational Invariance and Angular Momentum.- 12.1. Translations in Two Dimensions.- 12.2. Rotations in Two Dimensions.- 12.3. The Eigenvalue Problem of Lz.- 12.4. Angular Momentum in Three Dimensions.- 12.5. The Eigenvalue Problem of L2 and Lz.- 12.6. Solution of Rotationally Invariant Problems.- 13. TheHydrogen Atom.- 13.1. The Eigenvalue Problem.- 13.2. The Degeneracy of the Hydrogen Spectrum.- 13.3. Numerical Estimates and Comparison with Experiment.- 13.4. Multielectron Atoms and the Periodic Table.- 14. Spin.- 14.1. Introduction.- 14.2. What is the Nature of Spin?.- 14.3. Kinematics of Spin.- 14.4. Spin Dynamics.- 14.5. Return of Orbital Degrees of Freedom.- 15. Addition of Angular Momenta.- 15.1. A Simple Example.- 15.2. The General Problem.- 15.3. Irreducible Tensor Operators.- 15.4. Explanation of Some Accidental Degeneracies.- 16. Variational and WKB Methods.- 16.1. The Variational Method.- 16.2. The Wentzel-Kramers-Brillouin Method.- 17. Time-Independent Perturbation Theory.- 17.1. The Formalism.- 17.2. Some Examples.- 17.3. Degenerate Perturbation Theory.- 18. Time-Dependent Perturbation Theory.- 18.1. The Problem.- 18.2. First-Order Perturbation Theory.- 18.3. Higher Orders in Perturbation Theory.- 18.4. A General Discussion of Electromagnetic Interactions.- 18.5. Interaction of Atoms with Electromagnetic Radiation.- 19. Scattering Theory.- 19.1. Introduction.- 19.2. Recapitulation of One-Dimensional Scattering and Overview.- 19.3. The Born Approximation (Time-Dependent Description).- 19.4. Born Again (The Time-Independent Approximation).- 19.5. The Partial Wave Expansion.- 19.6. Two-Particle Scattering.- 20. The Dirac Equation.- 20.1. The Free-Particle Dirac Equation.- 20.2. Electromagnetic Interaction of the Dirac Particle.- 20.3. More on Relativistic Quantum Mechanics.- 21. Path IntegralsII.- 21.1. Derivation of the Path Integral.- 21.2. Imaginary Time Formalism.- 21.3. Spin and Fermion Path Integrals.- 21.4. Summary.- A.l. Matrix Inversion.- A.2. Gaussian Integrals.- A.3. Complex Numbers.Trade Review`An excellent text....The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succint manner.' - American Scientist, from a review of the First EditionTable of ContentsMathematical Introduction.- Review of Classical Mechanics.- All Is Not Well With Classical Mechanics. The Postulates-A General Discussion.- Simple Problems in One Dimension.- The Classical Limit.- The Harmonic Oscillator.- The Path Integral Formulation of Quantum Theory.- The Heisenberg Uncertainty Relations.- Systems with N Degrees of Freedom.- Symmetries and Their Consequences.- Rotational Invariance and Angular Momentum.- The Hydrogen Atom.- Spin.- Addition of Angular Momenta.- Variational and WKB Methods.- Time-Independent Perturbation Theory.- Time-Dependent Perturbation Theory.- Scattering Theory.- The Dirac Equation.- Path Integrals-II.- Appendix.- Answers to Selected Exercises.- Table of Constants.- Index

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Book SynopsisTrade Review"This text is another great example of the 'In a Nutshell' series of science books from Princeton University Press. . . . The book offers an abundance of worked out examples and many interesting end-of-chapter problems. This is a text that is obviously designed for the advanced undergraduate or graduate physics student--these groups of individuals will find the work an excellent introduction to the standard model." * Choice *Table of ContentsPreface for Instructors ix Acknowledgments xi Introduction xiii Table of Symbols xv 1 Special Relativity 1 1.1 Galileo 2 1.2 Vectors and Tensors 3 1.3 Foundations of Relativity 13 1.4 Spacetime 15 1.5 Relativistic Dynamics 19 2 Scalar Fields 24 2.1 The Principle of Least Action 25 2.2 Continuous Fields 29 2.3 The Klein-Gordon Equation 32 2.4 Which Lagrangians Are Allowed? 33 2.5 Complex Scalar Fields 35 3 Noether's Theorem 43 3.1 Conserved Quantities for Particles 44 3.2 Noether's First Theorem 46 3.3 The Stress-Energy Tensor 49 3.4 Angular Momentum 52 3.5 Electric Charge 53 3.6 Digression: Inflation 54 4 Symmetry 61 4.1 What Groups Are 62 4.2 Finite Groups 63 4.3 Lie Groups 66 4.4 SU(2) 70 4.5 SU(3) 74 5 The Dirac Equation 79 5.1 Relativity and Quantum Mechanics 80 5.2 Solutions to the Dirac Equation 86 5.3 The Adjoint Spinor 88 5.4 Coordinate Transformations 90 5.5 Conserved Currents 93 5.6 Discrete Transforms 97 5.7 Quantum Free-Field Theory 100 6 Electromagnetism 109 6.1 A Toy Model of Electromagnetism 109 6.2 Gauge Transformations 112 6.3 Interpreting the Electromagnetic Lagrangian 116 6.4 Solutions to the Classical Free Field 122 6.5 The Low-Energy Limit 123 6.6 Looking Forward 126 7 Quantum Electrodynamics 129 7.1 Particle Decay 130 7.2 Scattering 140 7.3 Feynman Rules for the Toy Scalar Theory 148 7.4 QED 153 8 The Weak Interaction 164 8.1 Leptons 165 8.2 Massive Mediators 168 8.3 SU(2) 171 8.4 Helicity 177 8.5 Feynman Rules for the Weak Interaction 180 9 Electroweak Unification 184 9.1 Leptons and Quarks 184 9.2 Spontaneous Symmetry Breaking 192 9.3 The Higgs Mechanism 195 9.4 Higgs-Fermion Interactions 199 9.5 A Reflection on Free Parameters 202 10 Particle Mixing 205 10.1 Quarks 207 10.2 Neutrinos 216 10.3 Neutrino Masses 222 11 The Strong Interaction 229 11.1 SU(3) 229 11.2 Renormalization 238 11.3 Asymptotic Freedom 245 12 Beyond the Standard Model 253 12.1 Free Parameters 253 12.2 Grand Unified Theories 255 12.3 Supersymmetry 259 12.4 The Strong CP Problem 264 12.5 Some Open Questions 266 Appendix A Spinors and c-Matrices 271 Appendix B Decays and Cross Sections 274 Appendix C Feynman Rules 277 Appendix D Groups 281 Bibliography 283 Index 291

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Book SynopsisThis introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other. Trade Review“He has written a book about principal bundles in the classical sense which is of great interest in and of itself … . a textbook which can be used in an advanced one-year course or for self-learning. … the book is also interesting for a physicist, because one can find the geometric basis of many mathematical tools used in physics. … reviewer has greatly enjoyed reading the book and acknowledges the author’s bravery in writing another text on differential geometry!” (Fernando Etayo Gordejuela, Mathematical Reviews, November, 2015)“The present book deals with principle bundles and their relevance in physics with a ground work on differential geometry. … The book will be helpful to the graduate and under graduate students of mathematics and physics. It can also be an informative hand book of the researchers in differential geometry and physics.” (Uday Chand De, zbMATH 1321.53004, 2015)Table of ContentsIntroduction.- Basics of Manifolds.- Vector Bundles.- Vectors and Covectors.- Differential Forms.- Lie Derivatives.- Lie Groups.- Frobenius Theorem.- Principle Bundles.- Connections on Principle Bundles.- Curvature of a Connection.- Classical Electromagnetism.- Yang-Mills Theory.- Gauge Theory.- The Dirac Monopole.- Instantons.- What Next?.- Discussion of the Exercises.

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Book Synopsis#1 NEW YORK TIMES BESTSELLER • The epic story of the greatest quest in all of science—the holy grail of physics that would explain the creation of the universe—from renowned theoretical physicist and author of The Future of the Mind and The Future of Humanity.When Newton discovered the law of gravity, he unified the rules governing the heavens and the Earth. Since then, physicists have been placing new forces into ever-grander theories. But perhaps the ultimate challenge is achieving a monumental synthesis of the two remaining theories—relativity and the quantum theory. This would be the crowning achievement of science, a profound merging of all the forces of nature into one beautiful, magnificent equation to unlock the deepest mysteries in science: What happened before the Big Bang? What lies on the other side of a black hole? Are there other universes and dimensions? Is time travel possible? Why are w

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Book SynopsisQuantum mechanics is traditionally associated with microscopic systems; however, quantum concepts have also been successfully applied to a diverse range of macroscopic systems both within and outside of physics. This book describes how complex systems from a variety of fields can be modelled using quantum mechanical principles; from biology and ecology, to sociology and decision-making. The mathematical basis of these models is covered in detail, furnishing a self-contained and consistent approach. This book provides unique insight into the dynamics of these macroscopic systems and opens new interdisciplinary research frontiers. It will be an essential resource for students and researchers in applied mathematics or theoretical physics who are interested in applying quantum mechanics to dynamical systems in the social, biological or ecological sciences.Trade Review'The target audience for the book consists of scientists of the fields mentioned in the title (biologists,ecologists,sociologists); they could find - beyond the specific applications of the book - new directions and methods, through quantum mechanics, in approaching problems in their areas of expertise; even more so, they could open new application horizons. Prospective readers are also quantum experts, while finally, the volume could be of interest to those involved in physics, mathematics, and computer science.' Nikolaos E. Myridis, Contemporary PhysicsTable of ContentsPreface; 1. Introduction; Part I. The General Framework: 2. Some preliminaries; Part II. Applications: 3. Politics; 4. Desertification; 5. Escape strategies; 6. Closed ecosystems; 7. More on biological systems; 8. Quantum game of life and its (H; ρ)-induced dynamics; 9. Prehistoric data miming; 10. A simple model of information in stock markets; 11. Decision Making driven by the environment; 12. Compatible and incompatible questions; 13. This is not the end; References; Index.

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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 SynopsisA balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to condensed matter physics. Beginning with the basics of these subjects, such as static and vibrating lattices, independent and interacting electrons, the functional formulation for fields and different generating functionals and their roles, this book presents a unified viewpoint illustrating the connections and relationships among various physical concepts and mechanisms. Advanced and newer topics bring the book up to date with current developments and include sections on cuprate and pnictide superconductors, graphene, Weyl semimetals, transition metal dichalcogenides and topological insulators. Finally, well-known subjects such as the quantum Hall effect, superconductivity, Mott and Anderson insulators, and the AndersonâHiggs mechanism are examined within a unifying QFT-CMP approach. Presenting new insights on traditional topics, this text allows graTrade Review'Quantum field theory and condensed matter physics have mutually benefited from the progress in their respective areas. Recently some authors have been working to provide a unified view of these fields, both conceptually and in their technical aspects. Eduardo C. Marino's book is an important step in this direction and it is bold in its outlook as it deals with problems that have no consensual solution yet in the scientific community. In these chapters Marino is especially inspired as he guides the reader firmly through the challenges presented by these problems. His approach leads to a powerful grasp of mathematical tools and a solid knowledge of the most actual problems in condensed matter physics.' Mucio Amado Continentino, Centro Brasileiro de Pesquisas Físicas, Brazil'This book explains how one can use Quantum Field Theory (QFT) to analyze Condensed Matter Physics and as a result it comprises three main parts which are respectively (I) condensed matter physics, (II) quantum field theory and (III) quantum field theory approach in condensed matter systems. The book is bulky, but if you have the basis, only the basis, background of the mathematical machinery of quantum mechanics, you will read it easily. … The number of topics so considered is rather large enough to include, for instance, Fermi liquids and Anderson insulators, polarons, polyacetylene, quantum magnets in 1D and in 2D, spin-fermion system, spin glass, superfluidity, superconductivity, pnictides,graphene, silicenes, insulators quantum, quantum computation. … I used to give these books-for-review as a gift to the library of my university, but I decided to keep the present one for my own personal library.' Guy Jumarie, Zentralblatt MATH'This book provides an excellent overview of the state of the art of quantum field theory (QFT) applications to condensed-matter physics (CMP). … I would keenly recommend this to advanced graduate students and researchers in the field, who will find, in part three, plenty of hot topics that are very well explained and accompanied by complete references.' Rogelio Palomo, CERN Courier'Students in particular would welcome seeing how the 'new' formalism can be matched with an 'old' one … this is a useful book to have in one's library.' Malte Henkel, Acta Crystallographica Section ATable of ContentsPreface; Part I. Condensed Matter Physics: 1. Independent electrons and static crystals; 2. Vibrating crystals; 3. Interacting electrons; 4. Interactions in action; Part II. Quantum Field Theory: 5. Functional formulation of quantum field theory; 6. Quantum fields in action; 7. Symmetries: explicit or secret; 8. Classical topological excitations; 9. Quantum topological excitations; 10. Duality, bosonization and generalized statistics; 11. Statistical transmutation; 12. Pseudo quantum electrodynamics; Part III. Quantum Field Theory Approach to Condensed Matter Systems: 13. Quantum field theory methods in condensed matter; 14. Metals, Fermi liquids, Mott and Anderson insulators; 15. The dynamics of polarons; 16. Polyacetylene; 17. The Kondo effect; 18. Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that'; 19. Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that'; 20. The spin-fermion system: a quantum field theory approach; 21. The spin glass; 22. Quantum field theory approach to superfluidity; 23. Quantum field theory approach to superconductivity; 24. The cuprate high-temperature superconductors; 25. The pnictides: iron based superconductors; 26. The quantum Hall effect; 27. Graphene; 28. Silicene and transition metal dichalcogenides; 29. Topological insulators; 30. Non-abelian statistics and quantum computation; References; Index.

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Book SynopsisQuantum phase transitions are strongly relevant in a number of fields, ranging from condensed matter to cold atom physics and quantum field theory. This book, now in its second edition, approaches the problem of quantum phase transitions from a new and unifying perspective. Topics addressed include the concepts of scale and time invariance and their significance for quantum criticality, as well as brand new chapters on superfluid and superconductor quantum critical points, and quantum first order transitions. The renormalisation group in real and momentum space is also established as the proper language to describe the behaviour of systems close to a quantum phase transition. These phenomena introduce a number of theoretical challenges which are of major importance for driving new experiments. Being strongly motivated and oriented towards understanding experimental results, this is an excellent text for graduates, as well as theorists, experimentalists and those with an interest in quaTrade Review'The book is instructive, rich, stimulating and easy to follow, providing physical insight to many quantum critical phenomena where traditional theory becomes insufficient. The author draws attention to the physical interpretation and significant implications of the mathematical results presented here. The material is aimed at advanced graduate students in condensed matter or early career researchers … The book is very attractive, readable, containing discussions, comments or explanatory figures whenever is necessary. The author combines easy-to-grasp physical intuitive concepts with relevant mathematical expressions and advanced calculations, allowing the text to flow easily, in a highly organised and unified manner.' Eric Howard, Contemporary PhysicsTable of ContentsPreface; 1. Scaling theory of quantum critical phenomena; 2. Landau and Gaussian theories; 3. Real space renormalization group approach; 4. Renormalisation group: the expansion; 5. Quantum phase transitions; 6. Heavy fermions; 7. A microscopic model for heavy fermions; 8. Metal and superuid-insulator transitions; 9. Density-driven metal-insulator transitions; 10. Mott transitions; 11. The non-linear sigma model; 12. Superconductor quantum critical points; 13. Topological quantum phase transitions; 14. Fluctuation-induced quantum phase transitions; 15. Scaling theory of first order quantum phase transitions; Appendix 1. Green's functions; References; Index.

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Book SynopsisThis book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrödinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrödinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.Table of ContentsPreface; 1. History of quantum mechanics; 2. Vectors and operators; 3. Finite dimensional spaces; 4. Function space; 5. Postulates of quantum mechanics; 6. Density operator; 7. Measurement postulate and paradoxes of quantum mechanics; 8. Position and momentum representations; 9. Schrödinger equation in one dimension; 10. One-dimensional piecewise constant potentials; 11. One-dimensional exactly solvable continuous potentials; 12. Partially and completely periodic potentials; 13. Harmonic oscillator; 14. Three-dimensional central potentials; 15. Symmetry in quantum mechanics; 16. Quantum theory of angular momentum; 17. Approximation methods; 18. Entanglement and local hidden variable theory; Appendix A. Delta function; Appendix B. Second-order ordinary differential equations; Appendix C. Riccati equation; Appendix D. Some mathematical formulas; References; Index.

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Book SynopsisModel checking is one of the most successful verification techniques and has been widely adopted in traditional computing and communication hardware and software industries. This book provides the first systematic introduction to model checking techniques applicable to quantum systems, with broad potential applications in the emerging industry of quantum computing and quantum communication as well as quantum physics. Suitable for use as a course textbook and for self-study, graduate and senior undergraduate students will appreciate the step-by-step explanations and the exercises included. Researchers and engineers in the related fields can further develop these techniques in their own work, with the final chapter outlining potential future applications.Trade Review'This book gives a thorough account of the principles of model checking for quantum systems. It covers the basics of verifying qualitative properties such as reachability as well as quantitative properties on quantum Markov chains. This is the first comprehensive work on this young and exciting research field.' Joost-Pieter Katoen, RWTH Aachen University'The authors have been, from the start of the quantum computer science endeavour, at the forefront of research in logical methods for quantum computing. This book provides the best possible introduction to quantum model checking, by the pioneers of the field. Bob Coecke, University of Oxford'A brief final chapter offering conclusions and future prospects will be of wider interest. This work is intended as an introduction for researchers entering the field of quantum computing, and is suitable as a textbook for physics or computer science graduate students … Recommended.' M. C. Ogilvie, Choice MagazineTable of Contents1. Introduction; 2. Basics of Model Checking; 3. Basics of Quantum Theory; 4. Model Checking; 5. Model Checking Quantum Markov Chains; 6. Model Checking Super-operator-valued Markov Chains; 7. Conclusions and Prospects.

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Book SynopsisAfter the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.Trade Review'The collection would be of interest to any physicist, mathematician, historian, or philosopher seeking a survey of the approaches to dealing with the modern concept of space in physics … Recommended.' E. Kincanon, Choice MagazineTable of ContentsIntroduction Mathieu Anel and Gabriel Catren; Part I. Noncommutative and supercommutative geometries: 1. Noncommutative geometry, the spectral standpoint Alain Connes; 2. The logic of quantum mechanics (revisited) Klaas Landsman; 3. Supergeometry in mathematics and physics Mikhail Kapranov; Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque; 5. Higher prequantum geometry Urs Schreiber; Part III. Spacetime: 6. Struggles with the continuum John C. Baez; 7. Twistor theory: a geometric perspective for describing the physical world Roger Penrose; 8. Quantum geometry of space Muxin Han; 9. Stringy geometry and emergent space Marcos Mariño.

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Book SynopsisThis unique manuscript presents a novel approach to QM by modelling an elementary particle via 3D matter/energy density, which propagates in the open time-space continuum as a rest mass energy density wave packet. This simple idea is based on the fact that any macroscopic object of mass M that occupies a finite 3D volume V can be represented by an energy-density contained in V, so that the integration of this energy-density over V provides the total energy E = Mc^2 . This new theory is fully integrated with the theory of relativity, and completes the quantum theory of Einstein by overcoming the Copenhagen interpretation. The newly introduced partial differential equations describe the relativistic phenomena and, generally, the dependence of a particle''s geometrical form (its internal matter distribution) on its velocity and acceleration. A number of well-known physical principles are obtained as derived results of this theory, and are consolidated by a number of detailed examples. Part I, which is dedicated to the completion of QM, is composed of five Chapters. In the first two chapters, the nucleus is analysed in terms of the material discussed. Chapter Three is dedicated to the development of the Lagrangian density for the complex wave packets of the rest mass energy density of an elementary particle, and to the new quantum field theory. The authors obtained the set of new non-Hamiltonian TSPF quantum operators, parameterised by the vector velocity field of energy density with corresponding Hilbert spaces for accelerated particles, and these were valid in any (infinitesimal) local Minkowski time-space. The main results are the new differential equations obtained as conservation laws for Noether currents and Euler-Lagrange equations, which express the exact form of the complex terms used in the differential equations in Chapters One and Two, and introduce the most useful concept of the velocity for any infinitesimal amount of the energy density flux of a particle (the hidden variables). In Chapter Four, a gauge theory and a new explanation of the mass gap conjecture in Yang-Mils theory and of the Higgs mechanism without necessity of the new Higgs field and its bosons, along with a new explanation of double-slit experiments are presented. Thus, the authors obtained a conservative extension of current probabilistic/statistic QM valid for an ensemble of particles, each individual particle, and which is deterministic and compatible by classical mechanics.

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Book SynopsisThis book is a collection of pioneering research that deals with quantum mechanics from the novel point of view, ranging from theoretical to applications. Quantum mechanics and its application is one of the very progressive fields that is currently governing our technology in industry and science. It has been a long time since Schrodinger, Born, Dirac, Klein-Gordon, Schwinger, Feynman, etc. had laid the foundations of quantum mechanics. There were recently some interesting theories that are not widely known that could shape our future of quantum mechanics and its application. A new understanding is brought that deserves to be promoted worldwide. The authors aim in this book to highlight these new issues and share them with researchers and educators who are highly involved in the foundation of quantum mechanics and its application. The book consists of twelve chapters involving theory, analysis and applications. Chapter One deals with some recent progress in the theory and analytical tools of quadratic optomechanical interactions, as one of the prominent domains of contemporary nonlinear quantum optics. Chapter Two introduces a new quantum mechanics that beautifully merges Schrodinger, Dirac and Klein-Gordon equations into a single quaternionic equation. The formulation of this quantum mechanics shares the one developed in Maxwells theory. Chapter Three is concerned with developing a nonrelativistic and relativistic quantum theory of the photoeffect in the form of ionization of the atom, which is the extension of the old theory of the photoeffect. In Chapter Four, based on the analogy with the classical continuity equation, the equations of Fick and Hamilton-Jacobi, a nonlinear differential equation is derived that describes the mechanical evolution of matter as a primary fluid. In Chapter Five, a quantization of general linear dissipative systems is discussed. In Chapter Six, a quantization process that circumvents the use of the Hamiltonian approach and derives the Schrodinger equation from its first principles is developed. The remaining chapters deal with a complementary understanding on quantum mechanics from a bio-psychological perspective that helps better elucidate the weird aspects of the measurement problem in quantum mechanics, since physics in general depends on observation and interpretation, which are bio-psychological functions. Treating a symmetry as a foundational concept, quantum mechanics and measurement axioms based on abstraction of physical entities by their symmetries is reformulated. Fundamental questions, like Is quantum mechanics really timeless? are raised. Questions related to the relationship between theories and models in science are investigated. Fundamental issues to describe the main elements of a possible theory of fractional probability, which could deal with defects in observation or defect in definition are analyzed. Bohmian quantum mechanics with novel reinterpretations that provide a new understanding of quantum mechanics is advocated.

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Book SynopsisThe current theory for strongly interacting elementary particles QCD cannot account for low energy phenomena. The present theory described in this book aims at replacing low energy QCD and has far more predictive power.Equations of motion for mesons and baryon are proposed, accounting for many basic mesonic data and, presently, a few baryon data. It is supposedly still at its early stage of development.

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Book SynopsisFoundations of the relativistic quantum mechanics and field theory of arbitrary spin are presented. New relativistic wave equations without redundant components for the particle-antiparticle doublets of arbitrary spin are considered. The comparison with known arbitrary spin equations of Bhabha, Bargman-Wigner and with Pauli-Fierz, Rarita-Schwinger equations (for the spin s=3/2) demonstrates the advantages of the presented approach. The special procedure of synthesis of higher spin relativistic wave equations is suggested. New equations are considered on three levels of (i) relativistic canonical quantum mechanics, (ii) canonical Foldy-Wouthuysen type field theory, and (iii) manifestly covariant field theory. The derivation of field equations based on the start from the relativistic canonical quantum mechanics is given. The corresponding transition operator, which is the extended Foldy-Wouthuysen transformation, is suggested and described. This model of relativistic quantum mechanics is described here on the level of von Neumann's consideration of non-relativistic case. The Lagrange approach for the spinor field in the Foldy-Wouthuysen representation is analyzed. The proof of the Fermi-Bose duality property of a few main equations of field theory, which before were known to have only single Fermi (or single Bose) property, is given. Hidden Bose properties (symmetry, solutions, and conservation laws) of the Dirac equation are proved. Both cases of non-zero and zero mass are considered. New useful mathematical objects, which are the pure matrix representations of the 64-dimensional Clifford and 28-dimensional SO(8) algebras over the field of real numbers, are put into consideration. The application of such algebras to the Dirac and Dirac-like equations properties analysis is demonstrated. Fermi and Bose SO(4) symmetries of the relativistic hydrogen atom are found. New symmetries and solutions of the Maxwell equations are considered. The Maxwell equations in the form, having maximal symmetry, are suggested and described. The application of such field-strength equations to the atomic microworld phenomena is demonstrated. On the basis of such Maxwell system the relativistic hydrogen atom spectrum and quantum properties of this atom are described. The Sommerfeld-Dirac fine structure formula, Plank constant and the Bohr postulates are derived in the frameworks of classical electrodynamics. The limits and boarders of classical physics applications in inneratomic microworld are discussed. In order to determine the place of our approach among other investigations the 26 variants of the Dirac equation derivation are considered.Table of ContentsPrefaceOn the Old and New Gamma Matrix Representations of the Clifford AlgebraTwenty Six Variants of the Dirac Equation DerivationOn the Representations of the Poincaré Group for the Local and Canonical FieldsDirac Equation in the Canonical Foldy-Wouthuysen RepresentationRelativistic Canonical Quantum Mechanics of Arbitrary SpinRelativistic Canonical Quantum Mechanics of Arbitrary Spin Covariant Equations of Arbitrary SpinLink between the Stationary Dirac Equation with Nonzero Mass in External Field and the Stationary Maxwell Equations in Specific MediumSpecific Case of Zero MassFermi-Bose Duality of the Dirac Equation with Nonzero MassIndex.

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Book SynopsisQuantum mechanics, based on the Schrodinger equation (and its relativistic Dirac's extension) is a statistical theory, here denominated as Statistical Quantum Mechanics (SQM), to differentiate it from the new part of the quantum theory, provided in PART I and II, denominated Individual-particles Quantum Mechanics (IQM). Both of them are necessary components of the quantum theory, as are the Classical Mechanics for Individual objects (ICM), based on the Newton equations, Hamiltonian-Jacobi equations or the Euler-Lagrange equation of motion of individual objects, and the Statistical Classical Mechanics (SCM) based on the Liouville equations. The SQM tells us the various possible outcomes of experiments and the corresponding probabilities if we would do a large number of identical experiments on individual quantum systems. The SQM systems are not all identical but this is the same type of fluctuation that occurs in classical statistical descriptions in SCM. At first sight the situation may not appear very different therefore from the description provided by classical statistical mechanics. In that case however, we have an underlying description (ICM) that provides a complete (i.e. non-statistical) description of the world, which in general is far too complex, however, to be of use. The last PART III of this trilogy is dedicated to the completion of the whole theoretical mechanics, both classical and quantum inside a 9-D time-space manifold of the Universe. Only in this final third volume, this IQM theory, dedicated in the first two volumes only to the elementary particles, is extended also to the non-elementary particles (like hadrons, nucleus, atoms, molecules, and all every-day objects in our common life, up to the biggest non-elementary particles, like the planets, stars, etc.) in our unique Universe. So, each object in our Universe, from the smallest (elementary) to the biggest, can be mathematically expressed by the same mathematical 9-D complex field expression, in a unifying way at which the physical determinism holds for the individual objects at all micro-macro scales in our Universe.Table of ContentsPreface; Fundamental Limits of Statistical Quantum Mechanics (SQM); Introduction to QM Completion and Unification with GR; From Astrophysics to Microcosms: Perfect Fluid Dynamics; Advances in the Individual Particle Quantum Mechanics (IQM) Theory; Massive Bosons in the IQM Theory and Applications; Appendix of PART III.

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Book SynopsisThis tenth volume comprises eleven chapters describing some of the frontal developments in research and applications of the high Tc superconductors.

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Book SynopsisMethods Of Theoretical Physics & Their Applications To Biopolymer Science

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Book SynopsisGroup Theoretical Foundations of Quantum Mechanics

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Book SynopsisStudies Of High Temperature Superconductors Volume 17 -- Microwave Studies Of High Temperature Perconductors

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Book SynopsisStudies of High Temperature Superconductors, Volume 26 - Quaternary Borocarbides, Superconductors & Hg-Based High Tc Superconductors

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Book SynopsisQuantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics including quantum hall physics, surface growth, string theory, D-branes and quantum gravity as well as condensed-matter and high-energy applications and particle-physics. This important new book presents leading-edge research from throughout the world.

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Book SynopsisSince first developed in the early sixties, silicon chip technology has made vast leaps forward. From a rudimentary circuit with a mere handful of transistors, the chip has evolved into a technological wonder, packing millions of bits of information on a surface no larger that a human thumbnail. And most experts predict that in the near future, we will see chips with over a billion bits. Quantum dots are small devices that contain a tiny droplet of free electrons. They are fabricated in semiconductor materials and have typical dimensions ranging from nanometres to a few microns. The size and shape of these structures and therefore the number of electrons they contain can be precisely controlled; a quantum dot can have anything from a single electron to a collection of several thousands. The physics of quantum dots shows many parallels with the behaviour of naturally occurring quantum systems in atomic and nuclear physics. As in an atom, the energy levels in a quantum dot become quantised due to the confinement of electrons. Unlike atoms however, quantum dots can be easily connected to electrodes and are therefore excellent tools for studying atomic-like properties. This new book brings together leading research from throughout the world in this field of the future which has become the field of today.

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Book SynopsisQuantum Gravity Research Trends

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Book SynopsisThe violent dynamical expansion of dense matter produced in heavy-ion collisions determines that the microscopic transport theories designed for it should keep the line of time evolution and medium effects, both in the in-medium particle drifting and in-medium particle-particle scatterings. A set of relativistic transport equations for particle distribution functions have thus been developed. Starting from a Lagrangian of baryons interacting through mesons, one computes Feynman diagrams up to the Born term through employing the closed time-path Green''s function technique. All the ingredients of equations are derived from the same effective interaction and presented analytically. This book clearly shows how a relativistic Boltzmann equation can be deduced from a given interaction through reckoning Feynman diagrams of quantum field theory. While discussions are concentrated on the topic of relativistic heavy-ion collisions, the introduced method is rather general, and may find it''s application in the problems of neutrino transportation of astrophysics and electron transportation of solid-state physics.

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Book SynopsisA quantum dot is a particle of matter so small that the addition or removal of an electron changes its properties in some useful way. All atoms are quantum dots, but multi-molecular combinations can have this characteristic. In biochemistry, quantum dots are called redox groups. In nanotechnology, they are called quantum bits or qubits. Quantum dots typically have dimensions measured in nanometers, where one nanometer is 10-9 meter or a millionth of a millimetre. The fields of biology, chemistry, computer science, and electronics are all of interest to researchers in nanotechnology. Other applications of quantum dots include nanomachines, neural networks, and high-density memory or storage media. Research is being carried out on nano-crystals, self-assembled dots, and gated structures. This book presents leading-edge research from around the world.

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Book SynopsisQuantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics including quantum hall physics, surface growth, string theory, D-branes and quantum gravity as well as condensed-matter and high-energy applications and particle-physics. This important book presents leading-edge research from throughout the world.

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Book SynopsisThe purpose of this new and important book is to develop a systematic theory for the hidden symmetry generators, which are simultaneously the odd generators of superalgebra in relativistic quantum mechanics (Dirac''s equation). It is devoted to the description of so-called hidden symmetry of the Kepler problem in classical and quantum mechanics (non-relativistic and relativistic). Moreover, the purpose is to elucidate the role of this kind of symmetries in the reduction of physical problems, to show algebraic possibilities of derivation of spectra. Since weathered crust elution -- deposited rare earth ore was discovered, the basic researches on the metallogeny mechanism, the prospecting rule and the production have been studied continuously for more than thirty years. The three leaching technologies of bath leaching with sodium chloride, bath leaching with ammonium sulphate and in-situ leaching with ammonium sulphate are developed sequentially. All of these contribute to the industry of the weathered crust elution-deposited rare earth ore. However, there was no systematic work on the weathered crust elution -- deposited rare earth ore in the past due to many reasons such as the confidentiality, which was not beneficial for the development of this ore. The metallogeny theory and mining technologies of the weathered crust elution -- deposited rare earth ore are introduced systematically in this book for readers.

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Book SynopsisSince first developed in the early sixties, silicon chip technology has made vast leaps forward. From a rudimentary circuit with a mere handful of transistors, the chip has evolved into a technological wonder, packing millions of bits of information on a surface no larger that a human thumbnail. And most experts predict that in the near future, we will see chips with over a billion bits. Quantum dots are small devices that contain a tiny droplet of free electrons. They are fabricated in semiconductor materials and have typical dimensions ranging from nanometres to a few microns. The size and shape of these structures and therefore the number of electrons they contain can be precisely controlled; a quantum dot can have anything from a single electron to a collection of several thousands. The physics of quantum dots shows many parallels with the behaviour of naturally occurring quantum systems in atomic and nuclear physics. As in an atom, the energy levels in a quantum dot become quantised due to the confinement of electrons. Unlike atoms however, quantum dots can be easily connected to electrodes and are therefore excellent tools for studying atomic-like properties. This new book presents the latest research developments in the world.

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Book SynopsisThis book describes complete nonlinear quantum mechanics, in which the fundamental and necessity theoretical principle and wave-corpuscle duality of microscopic particles were the foundation of this principle and its experimental evidences, the mechanisms of generation of the nonlinear interactions and its effects, as well as the methods solving nonlinear quantum mechanical problems, its distinctions with linear quantum mechanics and early nonlinear quantum mechanical idea and models, the completeness and correctness and universality of new theory as well as its applications in different systems containing polymers, physical and biological systems, which are exhibited in this book. Plenty of interesting results of these systems and a large number of novel properties of microscopic particles including the electron, proton, phonon, photon, exciton, polaron, magnon and Boson involving their localisations and classical features are stated in detail. This book is intended for researchers, teachers, graduate students, and upper level undergraduate students.

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Book SynopsisThrough the development of physical science there has never been a theory which has changed so drastically the shape of science as quantum mechanics; nor has there been a scientific theory which has had such a profound impact on human thinking. Since its inception, quantum mechanics has played a significant role in philosophical thought both as a source of metaphysical ideas and as an important example of a "scientific revolution." This book gathers the most current research in the field of quantum mechanics including quantum mechanics and realism; the quantum mechanical mechanism behind end results of the GTR; and geometric phases and topological effects in quantum mechanics; some quantum effects in magnetic fields.

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Book SynopsisThe interpretation of Quantum Mechanics has been the source of an intense debate since its earlier years of existence. The present book takes a different path to disclosure of a complete and self-contained interpretation of Quantum Mechanics. Beginning from its mathematical foundations, from which the Schrödinger equation is mathematically derived in six different but complementary ways, the book is capable of constructing an interpretation that follows closely the formalism of the theory, thus avoiding each and every weird construct of the other proposals, such as the "reduction of the wave packet", the Copenhagen Interpretation, "non-locality and wholeness", Hidden Variable theories, the Relative State Interpretation, and many other concepts that render Quantum Mechanics its (much infamous but also glorified) fame of a hermetic theory when it comes to its interpretation. Each derivation of the Schrödinger equation is shown equivalent to the others in precise mathematical terms, while these mathematical developments are kept at a level comprehensive for any graduate student in Physics, Chemistry or Mathematics. It allows the reader to understand how the constructs involved in one derivation compose with the constructs of all the other derivations to bring about a lively image of the interpretation of the theory. Many simulations are presented such that the reader can see what is going on within any quantum mechanical phenomenon.

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Book SynopsisSince its inception, general relativity has been unreceptive to a marriage with the quantum aspects of our universe. Following the ideas of Einstein, one may pursue an approach that allows spacetime itself to take centre stage. The quantum properties of matter are then carried by the dynamics of spacetime shape and connectivity. This monograph introduces the reader to the foundations of quantum spacetime in a manner accessible to researchers and students. Likewise, interested laymen that lack a strong background in quantum mechanics or spacetime studies but are keen to learn would find this information worthwhile. It can be shown from the first principles how spacetime is globally built up by paths which constitute entire histories in four dimensions. The central physical idea is that the collective existence of observers and observed derives from one mimicking the other unremittingly, thereby inducing tangible reality. This world of identity by mimicry creates a multitude of interacting histories. Throughout the text, experiments are used to derive physical principles. Obtained results are therefore intuitive and accessible to non-experts. This monograph also discusses consequences of quantum spacetime for black holes, dark energy, inflation, the Higgs boson, and the multiverse.

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Book SynopsisQuantum entanglement is a quantum mechanical phenomenon with applications in various fields. This book includes research on the time travel hypothesis, in the context of general relativity, the fundamental importance in the open quantum systems theory of the border line between "system" and "environment" and its applications; and a scheme of ghost imaging and the physics behind it with two EPR states.

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Book SynopsisThe Quantum Information Theory (IT) perspective on entropic origins of the molecular electronic structure and chemical reactivity is examined in this book. The classical IT of Fisher and Shannon has already provided sensitive probes of the chemical bond patterns in molecules, generating tools for the bond spatial localization, formulating entropic measures of its overall multiplicity, and providing indices of the bond covalent/ionic composition. However, the amount of information carried by the particle distribution alone is not sufficient for a complete IT description of complex wavefunctions in molecular quantum mechanics, e.g., degenerate electronic states. The latter exhibit finite spatial phases and generate nonvanishing electronic currents. This monograph emphasizes the entropic chemical concepts due to the phase part of electronic states.

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