Quantum physics Books

Book SynopsisThere are deep and fascinating links between heavy metal and quantum physics. No, really!While teaching at the University of Nottingham, physicist Philip Moriarty noticed something odd, a surprising number of his students were heavily into metal music. Colleagues, too: a Venn diagram of physicists and metal fans would show a shocking amount of overlap. What's more, it turns out that heavy metal music is uniquely well-suited to explaining quantum principles.In When the Uncertainty Principle Goes to Eleven, Moriarty explains the mysteries of the universe's inner workings via drum beats and feedback: You'll discover how the Heisenberg uncertainty principle comes into play with every chugging guitar riff, what wave interference has to do with Iron Maiden, and why metalheads in mosh pits behave just like molecules in a gas.If you're a metal fan trying to grasp the complexities of quantum physics, a quantum physicist baffled by heavy metal, or just someone who'd like to know how the fundamental science underpinning our world connects to rock music, this book will take you, in the words of Pantera, to "A New Level." For those who think quantum physics is too mind-bendingly complex to grasp, or too focused on the invisibly small to be relevant to our full-sized lives, this funny, fascinating book will show you that physics is all around us . . . and it rocks.Trade Review"A refreshing and accessible introduction to nanoscience for the curious metalhead." —Science Magazine "You don't need to be a metalhead to like this book—but be warned that if you do like this book, you will probably find yourself more of a metalhead by the end than you were at the start, because the enthusiasm is infectious. You might even find you have a better grip of the notorious mind-warping concepts of quantum mechanics too." —Philip Ball, author of Beyond Weird: Why Everything You Thought You Knew about Quantum Physics Is Different "A magical mosh pit of Slayer and spandex trousers, sound waves, and strings—this is quantum physics as you've never seen or heard it before." —Matin Durrani, editor of Physics World magazine and coauthor of Furry Logic: the Physics of Animal Life "Both metal-heads and physicists have become caricatures in today's pop culture. In his wonderfully conversational writing, Moriarty smashes these stereotypes and subverts expectations by weaving the two worlds together. This book shows how unexpected ideas cut across the worlds of heavy metal and quantum physics. If you enjoy surprises, brutal band logos, or insane riffs, you'll love this book. Forgot pop-sci. This is metal-sci." —Jesse Silverberg, PhD, physicist and Harvard research fellow "I thought I'd already seen every possible analogy for the weird world of quantum physics, but Philip Moriarty's music-inspired take on it is fresh and engaging . . . Moriarty's enthusiasm for both physics and metal shines through so much in his writing that I was tempted to break out the Megadeth myself while reading. If you've ever been intrigued by quantum mechanics but worried that you couldn't hack an entire book on the subject, try this one, and you won't be disappointed." —Kelly Oakes, former science editor for BuzzFeed UK "Whether you're a physicist, science enthusiast, musician, or music fan, this book will entertain and enlighten in equal amounts. It will bring a new beauty to your favorite songs, and arm you with fresh concepts to explain some of the most counter-intuitive of scientific ideas. At the very least, you'll have an interesting conversational tangent to adopt next time someone wants to force their amateur rendition of ‘Smoke on the Water' upon you." —David Domminney Fowler, guitarist with the Australian Pink Floyd Show

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Book SynopsisQuantum information science is a rapidly developing field that not only promises a revolution in computer sciences but also touches deeply the very foundations of quantum physics. This book consists of a set of lectures by leading experts in the field that bridges the gap between standard textbook material and the research literature, thus providing the ne- cessary background for postgraduate students and non-specialist researchers wishing to familiarize themselves with the subject thoroughly and at a high level. This volume is ideally suited as a course book for postgraduate students, and lecturers will find in it a large choice of material for bringing their courses up to date.Table of ContentsA Guide for the Reader.- Qubits, Cbits, Decoherence, Quantum Measurement and Environment.- to Quantum Computation.- Environment-Induced Decoherence and the Transition from Quantum to Classical.- Quantum Information Science Using Photons.- Quantum Information: Entanglement, Purification, Error Correction, and Quantum Optical Implementations.- Spintronics, Quantum Computing, and Quantum Communication in Quantum Dots.

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Book SynopsisThis introductory course on quantum mechanics is the basic lecture that precedes and completes the author's second book Advanced Quantum Mechanics. This new edition is up-to-date and has been revised. Coverage meets the needs of students by giving all mathematical steps and worked examples with applications throughout the text as well as many problems at the end of each chapter. It contains nonrelativistic quantum mechanics and a short treatment of the quantization of the radiation field. Besides the essentials, the book also discusses topics such as the theory of measurement, the Bell inequality, and supersymmetric quantum mechanics.Trade ReviewFrom the reviews: "Any student wishing to develop mathematical skills and deepen their understanding of the technical side of quantum theory will find Schwabl's Quantum Mechanics very helpful". Contemporary Physics From the reviews of the fourth edition: "Quantum Mechanics … presents a nice balance between theory and practical applications in this work that is intended for introductory coursework. It is designed to complement the author’s Advanced Quantum Mechanics (2005). Schwabl (Technische Universität München) succinctly covers a wide range of topics in 20 chapters … . The book also includes worked examples and applications. Summing Up: Recommended. Upper-division undergraduates through researchers and faculty." (D. B. Moss, CHOICE, Vol. 45 (10), June, 2008) "It is an excellent introduction for students of physics or mathematics into the fundamentals of quantum mechanics covering the methods used in applications. … The main point is that the fundamentals and methods of quantum mechanics are mediated very well and guide the reader to apply them successfully. This book can be best recommended to students and lecturers." (K.-E. Hellwig, Zentralblatt MATH, Vol. 1166, 2009)Table of ContentsHistorical and Experimental Foundations.- The Wave Function and the Schrödinger Equation.- One-Dimensional Problems.- The Uncertainty Relation.- Angular Momentum.- The Central Potential I.- Motion in an Electromagnetic Field.- Operators, Matrices, State Vectors.- Spin.- Addition of Angular Momenta.- Approximation Methods for Stationary States.- Relativistic Corrections.- Several-Electron Atoms.- The Zeeman Effect and the Stark Effect.- Molecules.- Time Dependent Phenomena.- The Central Potential II.- Scattering Theory.- Supersymmetric Quantum Theory.- State and Measurement in Quantum Mechanics.

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Book SynopsisDer Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.Table of ContentsKlassische statistische Physik.- Quantenstatistik.- Quantengase.- Phasenübergänge.- Lösungen der Übungsaufgaben.

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Book SynopsisQuantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for non-linear wave equations. This volume provides a good survey of present-day research in non-linear problems of quantum theory for researchers and graduate students.Table of ContentsSome remarks on stochastically perturbed (Hamiltonian) systems.- Stability of ground states for nonlinear classical field theories.- A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity.- Some remarks on the nonlinear Schrödinger equation in the subcritical case.- The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions.- The Cauchy problem for the non-linear Klein-Cordon equation.- Conformal invariance and time decay for nonlinear wave equations.- Energy forms and white noise analysis.- Principles of solitary wave stability.

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Book SynopsisA course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.Table of ContentsPreface. 1. Angular Momentum Operators and Their Matrix Elements. 2. Coupling of Two Angular Momenta. 3. Vectors and Tensors in Spherical Basis. 4. Rotation Matrices - I. 5. Rotation Matrices - II. 6. Tensor Operators and Reduced Matrix Elements. 7. Coupling of Three Angular Momenta. 8. Coupling of Four Angular Momenta. 9. Partial Waves and the Gradient Formula. 10. Identical Particles. 11. Density Matrix and Statistical Tensors. 12. Products of Angular Momentum Matrices and Their Traces. 13. The Helicity Formalism. 14. The Spin States of Dirac Particles. Appendices. References. Subject Index.

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Book SynopsisThis book covers the fundamentals of and new developments in gaseous Bose-Einstein condensation. It begins with a review of fundamental concepts and theorems, and introduces basic theories describing Bose-Einstein condensation (BEC). It then discusses some recent topics such as fast-rotating BEC, spinor and dipolar BEC, low-dimensional BEC, balanced and imbalanced fermionic superfluidity including BCS-BEC crossover and unitary gas, and p-wave superfluidity.Table of ContentsFundamentals of BEC; Weakly Interacting Bose Gas; Trapped System; Superfluidity; Spinor BEC; Dipolar BEC; Vortices; Fermionic Superfluidity; Low-Dimensional Systems; Optical Lattice; BEC and Topology; Outlook.

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Book SynopsisThis book highlights state-of-the-art qubit implementations in semiconductors and provides an extensive overview of this newly emerging field. Semiconductor nanostructures have huge potential as future quantum information devices as they provide various ways of qubit implementation (electron spin, electronic excitation) as well as a way to transfer quantum information from stationary qubits to flying qubits (photons). Therefore, this book unites contributions from leading experts in the field, reporting cutting-edge results on spin qubit preparation, read-out and transfer. The latest theoretical as well as experimental studies of decoherence in these quantum information systems are also provided. Novel demonstrations of complex flying qubit states and first applications of semiconductor-based quantum information devices are given, too.Trade Review"Undoubtedly the book represents the interest for scientists working in this field and related physics fields. It is not a textbook, but [a detailed study] of the suggested material is very important for postgraduate students specializing in the modern optics of nanosubjects and theorists studying quantum computer theory."—Igor A. Merkulov, University of Tennessee, USA"This book provides a timely summary of the state of the art from established groups around the world and will serve as a critical reference for researchers and students working to advance the frontier. The editors have done an excellent job in collecting and assembling the topics and authors for the most important areas."—Duncan G. Steel, University of Michigan, USATable of ContentsSpin and Charge Qubits; Qubit Control, Readout, and Transfer; Qubit Decoherence; Flying Qubits; Qubit Applications.

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Book SynopsisQuantum physics has, on the one hand, drastically changed our theoretical description of the physical world and has, on the other hand, revolutionized everyday life, by allowing us to build lasers, atomic clocks used in GPS, and semiconductor-based devices such as laptop computers and smartphones. The object of this book is to give a self-contained introduction to both aspects. It contains a detailed account of the foundational principles: superposition, entanglement, quantum non-locality, decoherence and measurement theory, and of some selected applications: quantum cryptography and quantum computers, cold atoms, light emitting and laser diodes, and atomic clocks. The book is aimed at a general audience and the only prerequisite is a high-school background in mathematics.Table of ContentsAn Inconvenient Principle; Secure Communications; Einstein, Bohr, and Bell; Atoms, Light, and Lasers; Cold Atoms; The Kingdom of Semiconductors; Relativistic Quantum Physics; Towards a Quantum Computer?; The Environment is Watching; Interpretations.

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Book SynopsisThis work seeks to show that science is rooted not just in conversation but in disagreement, doubt and uncertainty. Mara Beller argues that it is precisely this culture of dialogue and controversy within the scientific community that fuels creativity.

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Book SynopsisThe first comprehensive philosophical and historical account of the experimental foundations of Niels Bohr’s practice of physics.Trade Review"Perovic offers a novel and refreshingly unorthodox interpretation of Bohr's seminal contributions to quantum physics and their philosophical implications. Adopting a method of historically sensitive analysis, he argues convincingly that the great Dane came to his overarching hypotheses, including the complementarity principle, by inductive reasoning inherently based on experiments. He skillfully defends Bohr against the charges that his epistemological and methodological views were amateurish armchair philosophy. Perovic's book on Bohr's vision is recommendable from a scientific, historical, and philosophical perspective."--Helge Kragh, Niels Bohr Institute, University of CopenhagenTable of ContentsIntroduction Part 1: Preliminaries 2 From Laboratory to Theory 3 From Classical Experiments to Quantum Theory Part 2: Bohr’s Vision in Practice: the Old Quantum Theory 4 Spectral Lines, Quantum States, and a Master Model of the Atom 5 The Correspondence Principle as an Intermediary Hypothesis 6 Reception 7 The Scientific Moderator Part 3: Toward Quantum Mechanics 8 Quantum Corpuscles, Quantum Waves, and the Experiments 9 The Uncertainty Principle as an Intermediary Hypothesis 10 Metaphysical Principles and Heuristic Rules 11 New Formalisms and Bohr’s Atom 12 Complementarity Established and Applied Part 4: Aftermath 13 Bohr and the “Copenhagen Orthodoxy” 14 Bohr’s Response to the Einstein-Podolsky-Rosen Argument 15 The Mature Bohr and the Rise of Slick Theory and Theoreticians Acknowledgments Bibliography Index

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Book SynopsisTrade Review"Prominent philosopher-scientists, from Abner Shimony to Paul Teller, contribute articles (some revisions of seminal publications) detailing presumptions and ambiguities of quantum measurement, written especially for the nonspecialist. Some highlights include Mermin's powerful (and amusing) 'device' to highlight the 'paradox' of quantum correlations, Linda Wessels' thorough catalog of specific implicit 'axioms' of the discussion, and Cushing's prospective overview. Other gems, including some simplified models of Bell's arguments, and a range of ontological frameworks—from realism to 'holism'—make this an urgently recommended work for all colleges." —Choice"The papers collected here demonstrate how analytic philosophy of science should be done. Quantum mechanics may be mysterious in some of its aspects, but those who wish to peddle mysticism on the basis on quantum theory would do well to stay away from this excellent collection of philosophical essays." —Canadian Philosophical Reviews"These papers, collected from a 1986 conference focusing on John S. Bell's celebrated 1964 theorem, examine the philosophical issues posed by quantum theory. The book introduces Bell's theorem so that readers can understand the papers, but it is not a technical overview of the theorem or of quantum mechanics." —Science News

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Book SynopsisTrade Review“The book is an unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe"For decades, mathematician Shing-Tung Yau—a winner of the 1982 Fields Medal—has been central to the cross-fertilization between modern mathematics and physics. His work in geometry, for instance, underlies much of string theory. This volume, co-authored with science writer Steve Nadis, is an intimate account of Yau’s life”—Barbara Kiser, Nature“An eye-opening and insightful account. . . . Yau’s life story is an inspiring example of the power of education.”—Dan Eady, South China Morning Post“A real story of a remarkable mathematician and of contemporary mathematics, written with passion by one of the key players”—Peter Giblin, The Mathematical GazetteFinalist in the PROSE Awards mathematics category, sponsored by the Association of American Publishers“Yau and Nadis’s The Shape of a Life opens a window into the fascinating mind and world of today’s equivalent of Apollonius of Perga, ‘The Great Geometer’ of antiquity.”—Mario Livio, author of Brilliant Blunders"The interesting life of a remarkably influential modern mathematician."—Juan Maldacena, Institute for Advanced Study“This book tells a fascinating story of a life lived between multiple cultures—China and the West, and mathematics and physics. Yau's journey from poverty in Hong Kong to the top levels of the mathematics world was not a simple one.”—Edward Witten, Institute for Advanced Study"Candid, deep, and truly inspiring, The Shape of a Life is studded with unexpected insights into Yau's thinking. An extraordinary story about an extraordinary person."—Gish Jen, author of The Girl at the Baggage Claim: Explaining the East-West Culture Gap“The remarkable story of one of the world's most accomplished mathematicians, Shing-Tung Yau, who has made profound contributions in pure mathematics, general relativity, and string theory. Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind's irrepressible spirit of discovery.”—Brian Greene, author of The Elegant Universe

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Book SynopsisFundamental Concepts.- The Formal Framework.- Basic Tools.- Low Dimensional Systems.- Hydrogenic Atoms.- Two-Electron Atoms.- Symmetries.- Elastic Scattering.- Inelastic Collisions.- Electrodynamics.- Systems of Identical Particles.- Interpretation.- Relativistic Quantum Mechanics.- Index.Trade ReviewJOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL (27 FEBRUARY 2004) "… [The first edition] has become one of the most used and respected accounts of quantum theory … Gottfried and Yan’s book contains a vast amount of knowledge and understanding. As well as explaining the way in which quantum theory works, it attempts to illuminate fundamental aspects of the theory … For use with a well-constructed course (and, of course, this is the avowed purpose of the book; a useful range of problems is provided for each chapter), or for the relative expert getting to grips with particular aspects of the subject or aiming for a deeper understanding, the book is certainly ideal." PHYSICS TODAY (August 2004) "…especially useful for graduate students and professors who have time to go beyond the bare essentials of a topic and explore it in depth… I would recommend the book for its lucid discussions of less familiar topics alone, but the authors do not short-change the standard subjects… I expect the second edition of Gottfried and Yan to join my library of well thumbed-through texts." From the reviews of the second edition: "The book under review offers the reader in-depth physical and mathematical understanding of quantum mechanics. The book is the second edition of Gottfried’s Quantum mechanics. … Readers’ anticipations have finally been rewarded by the second edition of the earlier book, which is a complete revision covering most of the topics and much more … . The appendix contains the values of important physical constants, some useful operator identities … . The end notes at the conclusion of each chapter contain many useful references." (Howard E. Brandt, Mathematical Reviews, Issue 2007 f)Table of ContentsFundamental Concepts / The Formal Framework / Basic Tools / Low Dimensional Systems / Hydrogenic Atoms / Two-Electron Atoms / Symmetries / Elastic Scattering / Inelastic Collisions / Electrodynamics / Systems of Identical Particles / Interpretation / Relativistic Quantum Mechanics / Index.

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Book SynopsisThis self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas.Table of ContentsPreface xi Acknowledgements xiii List of Abbreviations xv 1 Introduction 1 1.1 Scattering and Diffraction Theory 1 1.2 Books on Related Subjects 3 1.3 Concept and Outline of the Book 5 References 8 2 Fundamentals of Electromagnetic Scattering 11 2.1 Introduction 11 2.2 Fundamental Equations and Conditions 11 2.2.1 Maxwell’s Equations 12 2.2.2 Constitutive Relations 12 2.2.3 Time-harmonic Scattering Problems 19 2.3 Approximate Boundary Conditions 26 2.3.1 Impedance Boundary Conditions 26 2.3.2 Generalized (Higher-order) Impedance Boundary Conditions 31 2.3.3 Sheet Transition Conditions 32 2.4 Fundamental Properties of Time-harmonic Electromagnetic Fields 35 2.4.1 Energy Conservation and Uniqueness 35 2.4.2 Reciprocity 39 2.5 Basic Solutions of Maxwell’s Equations in Homogeneous Isotropic Media 42 2.5.1 Plane, Spherical, and Cylindrical Waves 43 2.5.2 Electromagnetic Potentials and Fields of External Currents 46 2.5.3 Tensor Green’s Function 50 2.5.4 E and H Modes 54 2.5.5 Fields with Translational Symmetry 58 2.6 Electromagnetic Formulation of Huygens’ Principle 61 2.6.1 Compact Scatterers 62 2.6.2 Cylindrical Scatterers 67 2.7 Problems 70 References 84 3 Far-field Scattering 87 3.1 Introduction 87 3.2 Scattering Cross Section 87 3.2.1 Monostatic and Bistatic, Backscattering and Forward-scattering Cross Sections, Differential, Total, Absorption, and Extinction Cross Sections 87 3.2.2 Scattering Width 91 3.2.3 Backscattering from Impedance-matched Bodies 93 3.3 Scattering Matrix 95 3.3.1 Definition 95 3.3.2 Scattering Matrix in Spherical Coordinates 97 3.3.3 Scattering Matrix in the Plane of Scattering Coordinates 99 3.4 Far-field Coefficient 101 3.4.1 Integral Representations and Far-field Conditions 102 3.4.2 Reciprocity of Scattered Fields 106 3.4.3 Forward Scattering 108 3.4.4 Cylindrical Bodies 113 3.5 Scattering Regimes 120 3.5.1 Resonant-size Scatterers 120 3.5.2 Electrically Large Scatterers 121 3.6 Electrically Small Scatterers 125 3.6.1 Physics of Dipole Scattering 126 3.6.2 Dipole Scattering in Terms of Polarizability Tensors 129 3.6.3 Magneto-dielectric Ellipsoid 131 3.6.4 Rotationally Symmetric Particles 137 3.7 Problems 148 References 162 4 Planar Interfaces 165 4.1 Introduction 165 4.2 Interface of Two Homogeneous Semi-infinite Media 167 4.2.1 Reflection and Transmission Coefficients 167 4.2.2 Brewster’s Angle 173 4.2.3 Total Internal Reflection 173 4.2.4 Interfaces with Double-negative Materials 176 4.2.5 Surface Waves 177 4.2.6 Vector Solution of Reflection and Transmission Problems 179 4.3 Arbitrary Number of Planar Layers 182 4.3.1 Solution by the Method of Characteristic Matrices 182 4.3.2 Discussion and Limiting Cases 189 4.4 Reflection and Transmission of Cylindrical and Spherical Waves 195 4.4.1 Excitation by a Linear Electric Current 195 4.4.2 Excitation by an Electric Dipole 202 4.5 A Layer between Homogeneous Half-spaces 207 4.5.1 Different Half-spaces 207 4.5.2 A PEC-backed Layer 213 4.5.3 Layer Immersed in a Homogeneous Space 215 4.6 Modeling with Approximate Boundary Conditions 224 4.6.1 Accuracy of Impedance Boundary Conditions 225 4.6.2 Accuracy of Transition Boundary Conditions 229 4.6.3 Impedance-matched Surface 232 4.7 Problems 235 References 249 5 Wedges 251 5.1 Introduction 251 5.2 The Perfectly Conducting Wedge 253 5.2.1 Formulation of Boundary Value Problem 254 5.2.2 Solution by Separation of Variables 256 5.2.3 Fields and Currents at the Edge 258 5.2.4 Reduction to an Integral Form 260 5.2.5 Special Cases 262 5.2.6 Edge-diffracted and GO Components. Diffraction Coefficient 266 5.3 Scattering from a Half-plane (Solution by Factorization Method) 271 5.3.1 Statement of the Problem 271 5.3.2 Functional Equation 273 5.3.3 Factorization and Solution 274 5.3.4 Scattered Field Far from the Edge 276 5.4 The Impedance Wedge 279 5.4.1 Boundary Value Problem, Sommerfeld’s Integrals, and Functional Equations 279 5.4.2 Normal Incidence (Maliuzhinets’ Solution) 288 5.4.3 Unit Surface Impedance 297 5.4.4 Further Exactly Solvable Cases 300 5.5 High-frequency Scattering from Impenetrable Wedges 306 5.5.1 GO Components and Surface Waves 307 5.5.2 Edge-diffracted Field, Diffraction Coefficient, and Scattering Widths 310 5.5.3 Uniform Asymptotic Approximations 316 5.5.4 GTD/UTD Formulation 319 5.6 Behavior of Electromagnetic Fields at Edges 322 5.6.1 Determining the Degree of Singularity 322 5.6.2 Analytical Structure of Meixner’s Series 328 5.7 Problems 329 References 336 6 Circular Cylinders and Convex Bodies 339 6.1 Introduction 339 6.2 Perfectly Conducting Cylinders: Separation of Variables and Series Solution 340 6.2.1 Separation of Variables 342 6.2.2 Satisfying the Boundary Conditions 342 6.2.3 Scattered Fields 343 6.2.4 Numerical Examples 345 6.3 Homogeneous Cylinders under Normal Illumination 350 6.3.1 Field Equations and Boundary Conditions 350 6.3.2 Rayleigh Series Solution 351 6.3.3 Numerical Examples 352 6.4 Watson’s Transformation and High-frequency Approximations 354 6.4.1 Watson’s Transformation 355 6.4.2 Alternative Solution by Separation of Variables 358 6.4.3 High-frequency Approximations 360 6.4.4 Surface Currents in the Penumbra Region. Fock’s Functions 369 6.5 Coated and Impedance Cylinders under Oblique Illumination 375 6.5.1 PEC Cylinder with Magneto-dielectric Coating 376 6.5.2 Impedance Cylinder 383 6.6 Extension to Generally Shaped Convex Impedance Bodies 392 6.6.1 Fock’s Principle of the Local Field in the Penumbra Region 393 6.6.2 Asymptotic Solution for the Field on the Surface of Circular Impedance Cylinders under Oblique Illumination 396 6.6.3 Fock- and GTD-type Solutions for Electrically Large Convex Impedance Bodies 398 6.7 Problems 403 References 411 7 Spheres 412 7.1 Introduction 412 7.2 Exact Solution for a Multilayered Sphere 414 7.2.1 Formulation of the Problem in Terms of Debye’s Potentials 415 7.2.2 Derivation of the Series Solution 417 7.2.3 Solution for Impedance Boundary Conditions 427 7.3 Physics of Scattering from Spheres 429 7.3.1 Classification of Scattering 430 7.3.2 Spiral Waves 436 7.3.3 Debye’s Expansions for Homogeneous Spheres 438 7.3.4 Waves in Electrically Large Homogeneous Low-absorption Spheres 442 7.4 Scattered Field in the Far Zone 463 7.4.1 Far-field Coefficient, Scattering Cross Sections, and Polarization Structure. Approximations for Electrically Large Spheres 463 7.4.2 Electrically Small Spheres: Dipole, Quasi-static, and Resonance Approximations 471 7.4.3 PEC Spheres 479 7.4.4 Core-shell Spheres 483 7.4.5 Impedance Spheres 488 7.5 Far-field Scattering from Homogeneous Spheres 493 7.5.1 Exact Solution and Limiting Cases 494 7.5.2 Electrically Small Lossy Spheres 495 7.5.3 Electrically Small Low-absorption Spheres 499 7.5.4 Electrically Large Lossy Spheres: Relation to the Impedance Sphere and the Role of Absorption 506 7.5.5 Electrically Large Low-absorption Spheres: Light Scattering from Water Droplets 513 7.6 Metamaterial Effects in Scattering from Spheres 542 7.6.1 Small Spheres 542 7.6.2 Invisibility Cloak 546 7.7 Problems 552 References 562 8 Method of Physical Optics 565 8.1 Introduction 565 8.1.1 On Numerical Techniques for Studying Scattering from Arbitrary-shaped Bodies 565 8.1.2 PO as one of the Approximate Analytical Techniques 566 8.1.3 Structure of the Chapter 567 8.2 Principles and General Solution 567 8.2.1 Principles of PO 567 8.2.2 Derivation of PO Solutions 569 8.2.3 PO for Cylindrical Bodies 573 8.3 Transmission through Apertures 575 8.3.1 PO Solution 575 8.3.2 GO Rays and Fresnel Zones 576 8.3.3 Contribution from the Rim of the Aperture: Edge-diffracted Rays 582 8.4 Scattering from Curved Surfaces 594 8.4.1 Fock’s Reflection Formula 594 8.4.2 Application to a Spherical Segment 600 8.4.3 Reflection Formula in the Far-field Region 605 8.4.4 Diffraction by an Edge in a Non-metallic Surface 609 8.5 Advantages and Limitations of Physical Optics 615 8.6 Problems 616 References 632 9 Physical Optics Solutions of Canonical Problems 634 9.1 Introduction 634 9.2 Vertices 635 9.2.1 Vertex on an Edge of a Thin Plate 637 9.2.2 Apex of a Pyramid 641 9.2.3 Tip of an Elliptic Cone 643 9.3 Electrically Large Plates 652 9.3.1 Arbitrarily Shaped Plates 653 9.3.2 Circular Disc 658 9.3.3 Polygonal Plates 663 9.3.4 Far-field Patterns of Polygonal Plates and Apertures 667 9.4 Bodies of Revolution 671 9.4.1 PO Solution for Bodies of Revolution 672 9.4.2 Imperfectly Reflecting Bodies under Axial Illumination 675 9.4.3 PEC Bodies under Oblique Illumination 677 9.4.4 Axial Backscattering 678 9.4.5 Examples 684 9.5 Problems 689 References 712 A Definitions and Useful Relations of Vector Analysis and Differential Geometry 714 A.1 Vector Algebra 714 A.2 Vector Analysis 716 A.3 Vectors and Vector Differential Operators in Orthogonal Curvilinear Coordinates 717 A.3.1 General Orthogonal Curvilinear Coordinates 717 A.3.2 Spherical Coordinates 718 A.4 Curves and Surfaces in Space 720 A.4.1 Curves 720 A.4.2 Surfaces 720 A.5 Problems 722 References 724 B Fresnel Integral and Related Functions 725 B.1 Fresnel Integral 725 B.2 Relation to the Error Function 728 B.3 Transition Functions of Uniform Theories of Diffraction 730 B.4 Problems 731 References 732 C Principles of Complex Integration 733 C.1 Introduction 733 C.2 Deforming the Integration Contour 734 C.2.1 Basic Facts about Functions of a Complex Variable 734 C.2.2 Integrals over Infinite Contours 736 C.3 Steepest Descent Method 737 C.3.1 Steepest Descent Path 738 C.3.2 Saddle Point Contribution 739 C.3.3 Pole Singularity near the Saddle Point 741 C.3.4 Further Cases 742 C.4 Problems 743 References 745 D The Stationary Phase Method 746 D.1 Introduction 746 D.2 One-dimensional Integrals 746 D.2.1 No Stationary Points on the Integration Interval 747 D.2.2 Isolated Stationary Points 748 D.2.3 Two Coalescing Stationary Points 751 D.3 Two-dimensional Integrals 756 D.3.1 Stationary Point in the Integration Domain 756 D.3.2 Stationary Point near the Boundary of the Integration Domain 758 D.3.3 Contribution from the Boundary of the Integration Domain 760 D.3.4 Kontorovich’s Formula 763 D.3.5 Integrand Vanishing on the Boundary 765 D.3.6 Summary of the Two-dimensional Stationary-phase Method 766 D.4 Problems 766 References 768 E Asymptotic Approximations of Bessel Functions of Large Argument and Arbitrary Order 770 E.1 Introduction 770 E.1.1 Basic Definitions and Properties 770 E.1.2 Large-argument Approximations (|z| â 1) 772 E.1.3 Content of the Appendix 775 E.2 Debye’s Asymptotic Approximations 776 E.2.1 Debye’s Method 776 E.2.2 WKB Approximation 778 E.2.3 Bessel Functions on the Complex 𝜈 Plane 791 E.3 Almost Equal Argument and Order 795 E.3.1 Approximations in Terms of Airy Functions 796 E.3.2 Approximations in Terms of Normalized Airy Functions 797 E.3.3 Zeros in the Neighborhood of the Points 𝜈 = ±z 798 References 799 Index 801

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Book SynopsisFocusing on spectroscopic properties of molecular systems, Quantum Modeling of Molecular Materials presents the state-of-the-art methods in theoretical chemistry that are used to determine molecular properties relevant to different spectroscopies.Table of ContentsPreface xi 1 Introduction 1 2 Quantum Mechanics 11 2.1 Fundamentals 11 2.1.1 Postulates of Quantum Mechanics 11 2.1.2 Lagrangian and Hamiltonian Formalisms 11 2.1.3 Wave Functions and Operators 18 2.2 Time Evolution of Wave Functions 22 2.3 Time Evolution of Expectation Values 25 2.4 Variational Principle 27 Further Reading 29 3 Particles and Fields 31 3.1 Microscopic Maxwell’s Equations 32 3.1.1 General Considerations 32 3.1.2 The Stationary Case 34 3.1.3 The General Case 38 3.1.4 Electromagnetic Potentials and Gauge Freedom 39 3.1.5 Electromagnetic Waves and Polarization 41 3.1.6 Electrodynamics: Relativistic and Nonrelativistic Formulations 45 3.2 Particles in Electromagnetic Fields 48 3.2.1 The Classical Mechanical Hamiltonian 48 3.2.2 The Quantum-Mechanical Hamiltonian 52 3.3 Electric and Magnetic Multipoles 57 3.3.1 Multipolar Gauge 57 3.3.2 Multipole Expansions 59 3.3.3 The Electric Dipole Approximation and Beyond 63 3.3.4 Origin Dependence of Electric and Magnetic Multipoles 64 3.3.5 Electric Multipoles 65 3.3.5.1 General Versus Traceless Forms 65 3.3.5.2 What We Can Learn from Symmetry 68 3.3.6 Magnetic Multipoles 69 3.3.7 Electric Dipole Radiation 70 3.4 Macroscopic Maxwell’s Equations 72 3.4.1 Spatial Averaging 72 3.4.2 Polarization and Magnetization 73 3.4.3 Maxwell’s Equations in Matter 77 3.4.4 Constitutive Relations 79 3.5 Linear Media 81 3.5.1 Boundary Conditions 82 3.5.2 Polarization in Linear Media 86 3.5.3 Electromagnetic Waves in a Linear Medium 92 3.5.4 Frequency Dependence of the Permittivity 96 3.5.4.1 Kramers–Kronig Relations 97 3.5.4.2 Relaxation in the Debye Model 98 3.5.4.3 Resonances in the Lorentz Model 101 3.5.4.4 Refraction and Absorption 105 3.5.5 Rotational Averages 107 3.5.6 A Note About Dimensions, Units, and Magnitudes 110 Further Reading 111 4 Symmetry 113 4.1 Fundamentals 113 4.1.1 Symmetry Operations and Groups 113 4.1.2 Group Representation 117 4.2 Time Symmetries 120 4.3 Spatial Symmetries 125 4.3.1 Spatial Inversion 125 4.3.2 Rotations 127 Further Reading 134 5 Exact-State Response Theory 135 5.1 Responses in Two-Level System 135 5.2 Molecular Electric Properties 145 5.3 Reference-State Parameterizations 151 5.4 Equations of Motion 156 5.4.1 Time Evolution of Projection Amplitudes 157 5.4.2 Time Evolution of Rotation Amplitudes 159 5.5 Response Functions 163 5.5.1 First-Order Properties 166 5.5.2 Second-Order Properties 166 5.5.3 Third-Order Properties 169 5.5.4 Fourth-Order Properties 174 5.5.5 Higher-Order Properties 179 5.6 Dispersion 179 5.7 Oscillator Strength and Sum Rules 183 5.8 Absorption 185 5.9 Residue Analysis 190 5.10 Relaxation 194 5.10.1 Density Operator 195 5.10.2 Liouville Equation 196 5.10.3 Density Matrix from Perturbation Theory 200 5.10.4 Linear Response Functions from the Density Matrix 201 5.10.5 Nonlinear Response Functions from the Density Matrix 204 5.10.6 Relaxation in Wave Function Theory 204 5.10.7 Absorption Cross Section 207 5.10.8 Einstein Coefficients 210 Further Reading 211 6 Electronic and Nuclear Contributions to Molecular Properties 213 6.1 Born–Oppenheimer Approximation 213 6.2 Separation of Response Functions 216 6.3 Molecular Vibrations and Normal Coordinates 221 6.4 Perturbation Theory for Vibrational Wave Functions 225 6.5 Zero-Point Vibrational Contributions to Properties 227 6.5.1 First-Order Anharmonic Contributions 227 6.5.2 Importance of Zero-Point Vibrational Corrections 231 6.5.3 Temperature Effects 234 6.6 Pure Vibrational Contributions to Properties 235 6.6.1 Perturbation Theory Approach 235 6.6.2 Pure Vibrational Effects from an Analysis of the Electric-Field Dependence of the Molecular Geometry 238 6.7 Adiabatic Vibronic Theory for Electronic Excitation Processes 244 6.7.1 Franck–Condon Integrals 248 6.7.2 Vibronic Effects in a Diatomic System 250 6.7.3 Linear Coupling Model 252 6.7.4 Herzberg–Teller Corrections and Vibronically Induced Transitions 252 Further Reading 253 7 Approximate Electronic State Response Theory 255 7.1 Reference State Parameterizations 255 7.1.1 Single Determinant 255 7.1.2 Configuration Interaction 263 7.1.3 Multiconfiguration Self-Consistent Field 266 7.1.4 Coupled Cluster 268 7.2 Equations of Motion 271 7.2.1 Ehrenfest Theorem 271 7.2.2 Quasi-Energy Derivatives 275 7.3 Response Functions 276 7.3.1 Single Determinant Approaches 276 7.3.2 Configuration Interaction 281 7.3.3 Multiconfiguration Self-Consistent Field 281 7.3.4 Matrix Structure in the SCF, CI, and MCSCF Approximations 281 7.3.5 Coupled Cluster 285 7.4 Residue Analysis 288 7.5 Relaxation 291 Further Reading 293 8 Response Functions and Spectroscopies 295 8.1 Nuclear Interactions 296 8.1.1 Nuclear Charge Distribution 296 8.1.2 Hyperfine Structure 301 8.1.2.1 Nuclear Magnetic Dipole Moment 301 8.1.2.2 Nuclear Electric Quadrupole Moment 305 8.2 Zeeman Interaction and Electron Paramagnetic Resonance 310 8.3 Polarizabilities 317 8.3.1 Linear Polarizability 317 8.3.1.1 Weak Intermolecular Forces 321 8.3.2 Nonlinear Polarizabilities 325 8.4 Magnetizability 326 8.4.1 The Origin Dependence of the Magnetizability 328 8.4.2 Magnetizabilities from Magnetically Induced Currents 331 8.4.3 Isotropic Magnetizabilities and Pascal’s Rule 332 8.5 Electronic Absorption and Emission Spectroscopies 335 8.5.1 Visible and Ultraviolet Absorption 338 8.5.2 Fluorescence Spectroscopy 343 8.5.3 Phosphorescence 344 8.5.4 Multiphoton Absorption 347 8.5.4.1 Multiphoton Absorption Cross Sections 348 8.5.4.2 Few-State Models for Two-Photon Absorption Cross Section 350 8.5.4.3 General Multiphoton Absorption Processes 351 8.5.5 X-ray Absorption 354 8.5.5.1 Core-Excited States 355 8.5.5.2 Field Polarization 358 8.5.5.3 Static Exchange Approximation 360 8.5.5.4 Complex or Damped Response Theory 362 8.6 Birefringences and Dichroisms 364 8.6.1 Natural Optical Activity 366 8.6.2 Electronic Circular Dichroism 372 8.6.3 Nonlinear Birefringences 375 8.6.3.1 Magnetic Circular Dichroism 376 8.6.3.2 Electric Field Gradient-Induced Birefringence 379 8.7 Vibrational Spectroscopies 381 8.7.1 Infrared Absorption 381 8.7.1.1 Double-Harmonic Approximation 381 8.7.1.2 Anharmonic Corrections 383 8.7.2 Vibrational Circular Dichroism 384 8.7.3 Raman Scattering 388 8.7.3.1 Raman Scattering from a Classical Point of View 388 8.7.3.2 Raman Scattering from a Quantum Mechanical Point of View 392 8.7.4 Vibrational Raman Optical Activity 402 8.8 Nuclear Magnetic Resonance 408 8.8.1 The NMR Experiment 408 8.8.2 NMR Parameters 413 Further Reading 417 Appendicies A Abbreviations 419 B Units 421 C Second Quantization 423 C.1 Creation and Annihilation Operators 423 C.2 Fock Space 425 C.3 The Number Operator 426 C.4 The Electronic Hamiltonian on Second-Quantized Form 427 C.5 Spin in Second Quantization 429 D Fourier Transforms 431 E Operator Algebra 435 F Spin Matrix Algebra 439 G Angular Momentum Algebra 441 H Variational Perturbation Theory 445 I Two-Level Atom 451 I.1 Rabi Oscillations 452 I.2 Time-Dependent Perturbation Theory 454 I.3 The Quasi-energy Approach 455 Index 457

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Book SynopsisSince the publication of the first edition over 35 years ago, Quantum Physics has been one of the standard quantum mechanics texts for undergraduate physics majors. Its hallmarks are clear, concise exposition and a balance of theory and applications. In the 3rd Edition, the author has made numerous changes?based on feedback from teachers and students?to enhance the book''s strengths. One of the author''s important goals has been to offer teachers and students a textbook that is manageable in one semester. However, recognizing that some teachers like to go into more depth on certain topics, he has developed a web site where more detailed presentations can be found.Table of ContentsThe Emergence of Quantum Physics. Wave Particle Duality, Probability, and the Schrödinger Equation. Eigenvalues, Eigenfunctions, and the Expansion Postulate. One-Dimensional Potentials. The General Structure of Wave Mechanics. Operator Methods in Quantum Mechanics. Angular Momentum. The Schrödinger Equation in Three Dimensions and the Hydrogen Atom. Matrix Representation of Operators. Spin. Time-Independent Perturbation Theory. The Real Hydrogen Atom. Many Particle Systems. About Atoms and Molecules. Time-Dependent Perturbation Theory. The Interaction of Charged Particles with the Electromagnetic Field. Radiative Decays. Selected Topics on Radiation. Collision Theory. Entanglement and Its Implications. Physical Constants. References. Index.

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Book SynopsisBased on a course of lectures for advanced students. Part 1 is devoted to an introductory treatment of general concepts and methods to be used for describing nonlinear processes. Part 2 is concerned with the application of these concepts and methods to effects and processes.Table of ContentsPartial table of contents: PART I: GENERAL CONCEPTS AND METHODS OF NONLINEAR OPTICS. Electromagnetic Fields. Classical Description. The Quantized Free Radiation Field. Interaction Between Radiation and Matter. Semiclassical Description of Nonlinear Optics. Statistical and Coherence Properties of the Radiation Field andTheir Measurement. Nonstationary Processes. PART II: EFFECTS AND PROCESSES OF NONLINEAR OPTICS. Nonlinear One-photon Processes in Lasers. Nonlinearities in Transient One-photon Processes. Nonlinearities and Qunatum Phenomena in Transient One-photonProcesses. Multiphoton Absorption and Emission. Generation of Harmonics and Sum and Difference Frequencies. Parametric Amplification and Oscillation. Stimulated Raman Scattering. Optical Bistability. APPENDIX A: Compilation of Quantum-Theoretical Definitions andRelations. General References. Index.

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Book SynopsisIn Resonances, Instability, and Irreversibility: The LiouvilleSpace Extension of Quantum Mechanics T. Petrosky and I. Prigogine Unstable Systems in Generalized Quantum Theory E. C. G. Sudarshan, Charles B. Chiu, and G. Bhamathi Resonances and Dilatation Analyticity in Liouville Space Erkki J. Brandas Time, Irreversibility, and Unstable Systems in QuantumPhysics E. Eisenberg and L. P. Horwitz Quantum Systems with Diagonal Singularity I. Antoniou and Z. Suchanecki Nonadiabatic Crossing of Decaying Levels V. V. and Vl. V. Kocharovsky and S. Tasaki Can We Observe Microscopic Chaos in the Laboratory? Pierre Gaspard Proton Nonlocality and Decoherence in Condensed Matter --Predictions and Experimental Results C. A. Chatzidimitriou-Dreismann We are at a most interesting moment in the history of science.Classical science emphasized equilibrium, stabilitTable of ContentsThe Liouville Space Extension of Quantum Mechanics (T. Petrosky& I. Prigogine). Unstable Systems in Generalized Quantum Theory (E. Sudarshan, etal.). Resonances and Dilation Analyticity in Liouville Space (E.Bandas). Time, Irreversibility and Unstable Systems in Quantum Physics (E.Eisenberg & L. Horwitz). Quantum Systems with Diagonal Singularity (I. Antoniou & Z.Suchanecki). Nonadiabatic Crossing of Decaying Levels (V. Kocharovsky, etal.). Can We Observe Microscopic Chaos in the Laboratory? (P. Gaspard) Proton Nonlocality and Decoherence in CondensedMatter-Predictions and Experimental Results (C.Chatzidimitriou-Dreismann). Indexes.

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Book SynopsisThe use of quantum chemistry for the quantitative prediction of molecular properties has long been frustrated by the technical difficulty of carrying out the needed computations. In the last decade there have been substantial advances in the formalism and computer hardware needed to carry out accurate calculations of molecular properties efficiently. These advances have been sufficient to make quantum chemical calculations a reliable tool for the quantitative interpretation of chemical phenomena and a guide to laboratory experiments. However, the success of these recent developments is not well known outside the community of practitioners. In order to make the larger community of chemical physicists aware of the current state of the subject, this self-contained volume of Advances in Chemical Physics surveys a number of the recent accomplishments in computational quantum chemistry. Supplemented with more than 150 illustrations, this volume provides evaluations of a broad range of metTable of ContentsQuantum Monte Carlo Methods in Chemistry (D. Ceperley & L.Mitas). Monte Carlo Methods for Real-Time Path Integration (C. Mak & R.Egger). The Redfield Equation in Condensed-Phase Quantum Dynamics (W.Pollard, et al.). Path-Integral Centroid Methods in Quantum Statistical Mechanicsand Dynamics (G. Voth). Multiconfigurational Perturbation Theory: Applications inElectronic Spectroscopy (B. Roos, et al.). Electronic Structure Calculations for Molecules ContainingTransition Metals (P. Siegbahn). The Interface Between Electronic Structure Theory and ReactionDynamics by Reaction Path Methods (M. Collins). Algebraic Models in Molecular Spectroscopy (S. Oss). Tight-Binding Molecular Dynamics Studies of Covalent Systems (C.Wang & K. Ho). Perspectives on Semiempirical Molecular Orbital Theory (W.Thiel). Indexes.

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Book SynopsisQuantum mechanics is vitally important in the study and design of semiconductor devices and in the emerging field of quantum computing. Whereas most quantum mechanics books are written for a physics audience, this book is aimed at electrical engineers and materials scientists.Table of ContentsIntroduction. PART I: FOUNDATIONS. 1. Particles and Waves. 2. Probability Amplitudes. 3. The Origins of Quantum Mechanics. 4. The Schrödinger Equation and Wave Packet Solutions. 5. Operators, Expectation Values, and Ehrenfest's Theorem. PART II: THE TIME-INDEPENDENT SCHRÖDINGER EQUATION. 6. Eigenfunctions and Eigenvalues. 7. Piecewise Constant Potentials: I. 8. Piecewise Constant Potentials: II. PART III: THE SIMPLE HARMONIC OSCILLATOR. 9. The Simple Harmonic Oscillator I. 10. The Simple Harmonic Oscillator II: Operators. 11. The Simple Harmonic Oscillator III: Wave Packet Solutions. 12. The Quantum LC Circuit. PART IV: USEFUL APPROXIMATIONS. 13. Overview of Approximate Methods for Eigenfunctions. 14. The WKB Approximation. 15. The Variational Method. 16. Finite Basis Approximation. PART V: THE TWO-LEVEL SYSTEM. 17. The Two-level System with Static Coupling. 18. Th e Two-level System with Dynamical Coupling. 19. Coupld Two-level System and Simple Harmonic Oscillator. PART VI: QUANTUM SYSTEMS WITH MANY DEGREES OF FREEDOM. 20. Problems in More than One Dimension. 21. Electromagnetic Field Quantization I: Resonator Fields. 22. Electromagnetic Field Quantization II: Free-space Fields. 23. The Density of States. 24. The Golden Rules: The Calculation of Transition Raes. PART VII: STATISTICAL MECHANICS. 25. Basic Concepts of Statistical Mechanics. 26. Microscopic Quantum Systems in Equilibrium with a Reservoir. 27. Statistical Models Applied to Metals and Semiconductors. PART VIII: HYDROGEN ATOM, HELIUM ATOM, AND MOLECULAR HYDROGEN. 28. The Hydrogen Atom I: The Classical Problems. 29. The Hydrogen Atom II: The Quantum Problem. 30. The Hydrogen Atom III: Applications. 31. Two-Electron Atoms and Ions. 32. Molecular Hydrogen I: H2+ and H2 Electronic Orbitals. 33. Molecular Hydrogen II: Vibrational and Rotational States. PART IX: APPENDICES. Appendix A: Gaussian Integrals. Appendix B: The Fourier Transform of a Plane Wave. Appendix C: The Probability Flux. Appendix D: The Cascaded Matrix Method. Appendix E: The Creation Operator Raises the Index. Appendix F: Canonical Quantization. Appendix G: Wave Packet Incident on a "Gentle" Potential Step. Appendix H: The WKB Representation for Allowed Regions. Appendix I: The WKB Representation for Forbidden Regions. Appendix J: Matrix Elements for the Quartic Well. Appendix K: Normalization, and the Unity Operator. Appendix L: The Density Operator and Density Matrix. Appendix M: The Two-level System Hamiltonian. Appendix N: Thinking about Dirac Notation. Appendix O: Coordinate Rotation and the Two-dimensional SHO. Appendix P: Conservation Law for the Electromagnetic Energy Density. Appendix Q: The Grand Partition Function. Appendix R: Analytic Results for Metals Properties. Appendix S: Saha Equilibrium for a Hydrogen Plasma. Appendix T: Nuclear Magnetic Resonance. Appendix U: The Atomic Force Microscope. Appendix V: The Heisenberg Picture. References. Index.

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Book SynopsisThis Third Edition of the popular text, while retaining nearly all the material of the previous edition, incorporates material on important new developments in lasers and quantum electronics. Covers phase-conjugate optics and its myriad applications, the long wavelength quaternary semiconductor laser, and our deepened understanding of the physics of semiconductor lasers--especially that applying to their current modulations and limiting bandwidth, laser arrays and the related concept of supermodes, quantum well semiconductor lasers, the role of phase amplitude coupling in laser noise, and free-electron lasers. In addition, the chapters on laser noise and third-order nonlinear effects have been extensively revised.Table of ContentsBasic Theorems and Postulates of Quantum Mechanics. Some Solutions of the Time-Independent Schrödinger Equation. Matrix Formulation of Quantum Mechanics. Lattice Vibrations and Their Quantization. Electromagnetic Fields and Their Quantization. The Propagation of Optical Beams in Homogeneous and Lenslike Media. Optical Resonators. Interaction of Radiation and Atomic Systems. Laser Oscillation. Some Specific Laser Systems. Semiconductor Diode Lasers. Quantum Well Lasers. The Free-Electron Laser. The Modulation of Optical Radiation. Coherent Interactions of a Radiation Field and an Atomic System. Introduction to Nonlinear Optics--Second-Harmonic Generation. Parametric Amplification, Oscillation, and Fluorescence. Third-Order Optical Nonlinearities--Stimulated Raman and Brillouin Scattering. Phase-Conjugate-Optics and Photorefractive Beam Coupling. Q-Switching and Mode Locking of Lasers. Noise and Spectra of Laser Amplifiers and Oscillators. Guided Wave Optics--Propagation in Optical Fibers. Appendices. Index.

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Book SynopsisA modern presentation of theoretical solid state physics that builds directly upon Kittela s Introduction to Solid State Physics. Treats phonon, electron, and magnon fields, culminating in the BCS theory of superconductivity. Considers Fermi surfaces and electron wave functions and develops the group theoretical description of Brillouin zones.Table of ContentsMathematical Introduction. Acoustic Phonons. Plasmons, Optical Phonons, and Polarization Waves. Magnons. Fermion Fields and the Hartree-Forck Approximation. Many-Body Techniques and the Electron Gas. Polarons and the Electron-Phonon Interaction. Superconductivity. Bloch Funcations--General Properties. Brillouin Zones and Crystal Symmetry. Dynamics of Electronics in a Magnetic Field: de Hass-van AlphenEffect and Cyclotron Resonance. Magnetoresistance. Calculation of Energy Bands and Fermi Surfaces. Semiconductor Crystals: I. Energy Bands, Cyclotron Resonance andImpurity States. Semiconductor Crystals: II. Optical Absorption and Excitons. Electrodynamics of Metals. Acoustic Attenuation in Metals. Theory of Alloys. Correlation Functions and Neutron Diffraction by Crystals. Recoilless Emission. Green's Functions--Application to Solid State Physics. Appendixes.

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Book SynopsisDesigned as a learning tool for those with limited background in quantum mechanics, this book provides comprehensive coverage of angular momentum in quantum mechanics and its applications to chemistry and physics.Table of ContentsAngular Momentum Operators and Wave Functions. Coupling of Two Angular Momentum Vectors. Transformation under Rotation. The Coupling of More than Two Angular Momentum Vectors. Spherical Tensor Operators. Energy-level Structure and Wave Functions of a Rigid Rotor. Appendix: Computer Programs for 3J, 6J, and 9J Symbols. Index.

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Book SynopsisRapid advances in quantum optics, atomic physics, particle physics and other areas have been driven by fantastic progress in instrumentation (especially lasers) and computing technology as well as by the ever-increasing emphasis on symmetry and information concepts-requiring that all physicists receive a thorough grounding in quantum mechanics.Table of ContentsIntroduction to Quantum Mechanics. Wave Packets, Free Particle Motion, and the Wave Equation. The Schrödinger Equation, the Wave Function, and Operator Algebra. The Principles of Wave Mechanics. The Linear Harmonic Oscillator. Sectionally Constant Potentials in One Dimension. The WKB Approximation. Variational Methods and Simple Perturbation Theory. Vector Spaces in Quantum Mechanics. Eigenvalues and Eigenvectors of Operators, the Uncertainty Relations, and the Harmonic Oscillator. Angular Momentum in Quantum Mechanics. Spherically Symmetric Potentials. Scattering. The Principles of Quantum Dynamics. The Quantum Dynamics of a Particle. The Spin. Rotations and Other Symmetry Operations. Bound-State Perturbation Theory. Time-Dependent Perturbation Theory. The Formal Theory of Scattering. Identical Particles. Applications to Many-Body Systems. Photons and the Electromagnetic Field. Relativistic Electron Theory. Appendix. References. Index.

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Book SynopsisShort for Quantum Bayesianism, QBism adapts conventional features of quantum mechanics in light of a revised understanding of probability. Using commonsense language, without the equations or weirdness of conventional quantum theory, Hans Christian von Baeyer clarifies the meaning of quantum mechanics and suggests a new approach to general physics.Trade ReviewHans Christian von Baeyer has done a wonderful job with this book. I’ve been fortunate enough to learn QBism twice in my life. The first time, it was the hard way, as colleagues and I battled out every nuance of the forming theory, always testing and retesting, tearing down and reconstructing—we had to turn our world upside down to get there. But the second time was pure pleasure as I learned the subject afresh from Professor von Baeyer’s masterful articulation of it. So many of his turns of phrase are insightful gems I never could have formulated myself. Now for the first time I believe I know how to teach the subject, and there is no better understanding one can have than that! -- Christopher A. Fuchs, Professor of Physics, University of Massachusetts Boston, and key architect of QBismPhysicists all agree on how to do calculations using quantum mechanics and disagree markedly on what those calculations really mean. With his customary humor and elegance, Professor von Baeyer walks us through one of the more recent attempts to understand the mysterious world inside the atom. -- James Trefil, Professor of Physics, George Mason University, and the author of Science in World HistoryQBism remains controversial, but scientifically inclined readers will share von Baeyer’s enthusiasm and come away with a feeling, if not a deep understanding, of quantum phenomena that doesn’t require suspension of disbelief. * Kirkus Reviews *Von Baeyer offers a sensible approach to this seemingly esoteric world…He has an enthusiastic presentation and style that sweeps the reader along into the world of quantum physics and makes sense of it. -- Ralph Peterson * Manhattan Book Review *QBism should be applauded as a breeding ground of ideas for multiple disciplines including physics, philosophy, and mathematics, and von Baeyer’s book offers an account accessible to all…[It] provide[s] an outstanding introduction to two of the key components of QBism (quantum theory and subjective Bayesianism), and places the reader into the mind of the QBist in a way that will aid the ongoing debate over its merit. It is a worthwhile read. -- Kelvin J. McQueen * Quantum Times *

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Book SynopsisAlmost weightless and able to pass through the densest materials with ease, neutrinos may offer answers to questions ranging from relativity and quantum mechanics to more radical theories about dark energy and supersymmetry. Heinrich Päs serves as our fluent guide to a particle world that tests the boundaries of space, time, and human knowledge.Trade ReviewSome science books are good because they tell you a lot about science. Some are good because they present their examples and argument in very well written prose. A few do both. The Perfect Wave is one of the few… I can highly recommend The Perfect Wave as a pleasant and provocative way to gain insight into the way physicists think, and into the way the universe (probably) works. -- John Gribbin * Wall Street Journal *Päs for his part, places neutrinos within the broader context of contemporary high theory and delves deeper into the science. Physics buffs will relish his explanations, and not just of established ideas such a the seesaw mechanism. Neutrinos, Päs explains, may offer a way to probe the extra dimensions of space postulated by some ‘theories of everything.’ The puny particles’ weirdness, it seems, knows no end. * The Economist *The ghostly neutrino—a mutable, almost massless particle that can pass through dense substances—stars in this scientific history. Theoretical physicist Heinrich Päs surfs the decades of dazzling research since Wolfgang Pauli first posited the particle in 1930. Päs revisits key theorists such as Ettore Majorana, and lays out the work of groundbreaking labs from Los Alamos in New Mexico, where Fred Reines and Clyde Cowan first detected neutrinos in the early 1950s, to today’s vast IceCube neutrino observatory in Antarctica. * Nature *Written by one of the world’s leading experts in the field…Heinrich Päs’ book guides the reader through some difficult territory, covering the historical and philosophical developments that led to our understanding of the neutrino today. It is a peculiar route that navigates via such topics as the ancient Greek and magic mushrooms. Plus of course the obligatory cat that is simultaneously alive and dead… Though this book is written in simple language, don’t expect an easy read. There are some highly challenging ideas to get your head around—but it is worth making the effort. -- Paul Sutherland * BBC Sky at Night *Takes readers for a wild ride in pursuit of the neutrino—part ghost, part outlaw, part Holy Grail to theoretical physicists… From vast laboratories deep underground to the cutting edge Ice Cube Neutrino Observatory nearing completion in frigid Antarctica, Päs reveals the ‘world of madmen, dreamers, and visionaries’ who pursue the neutrino and its place in theoretical physics. * Publishers Weekly *Entertaining and evocative, Päs has written a breezy, readable account of particle physics, especially neutrino physics, in a lucid, lively narrative. -- Sandip Pakvasa, Professor of Physics and Astronomy, University of Hawai‘i at Mānoa

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Book SynopsisDavid Albert’s 2000 book Time and Chance attempts to account for some of the most intractable problems in theoretical physics, in particular those arising from the direction of time. This collection assembles essays exploring and debating Albert’s ideas, now recognized as among the most important recent contributions to the philosophy of science.Trade ReviewThis volume will constitute a significant, serious contribution to a range of debates spanning philosophy of physics, general philosophy of science, metaphysics, and epistemology. The contributors are all first-rate philosophers, their essays uniformly excellent in quality. -- Edward J. Hall, Harvard UniversityAlbert’s Time and Chance sparked a lively debate about the deep origins of time asymmetry, such as why do we know more about the past than future? The Probability Map of the Universe is a fantastic entry into this debate. It is focused yet broad, has overlap without redundancy, and is chock full of engaging contributions by experts. -- Craig Callender, University of California, San Diego

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Book SynopsisExplains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. This book shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis.Table of Contents*FrontMatter, pg. i*Contents, pg. vii*Preface, pg. ix*Chapter One. Introduction: Diffusive Motion and Where It Leads, pg. 1*Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys, pg. 45*Chapter Three. Ed Nelson's Work in Quantum Theory, pg. 75*Chapter Four Symanzik, Nelson, and Self-Avoiding Walk, pg. 95*Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead, pg. 117*Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson, pg. 141*Chapter Seven. Internal Set Theory and Infinitesimal Random Walks, pg. 157*Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics, pg. 183*Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music, pg. 209*Chapter Ten. Afterword, pg. 229*Appendix A. Publications by Edward Nelson, pg. 233*Index, pg. 241

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Book SynopsisThe new experiments underway at the Large Hadron Collider at CERN in Switzerland may significantly change our understanding of elementary particle physics and, indeed, the universe. Suitable for first-year graduate students and advanced undergraduates, this textbook provides an introduction to the field.Trade Review"[T]he book is a valuable and important addition to libraries, personal and institutional. It would serve as an excellent textbook to students taking up research in elementary particle physics and also as a reference volume."--B. Ananthanarayan, Current Science

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Book SynopsisEmphasizing the use of quantum mechanics to describe actual quantum systems such as atoms and solids, and rich with interesting applications, this book proceeds from solving for the properties of a single particle in potential; to solving for two particles (the helium atom); to addressing many-particle systems.Trade Review"Praises in no way can do full justice to the strength and detail of Mahan's well crafted and superb nutshell book. I found the book fascinating, stimulating and convincing and one can easily observe that the book is bursting with intellectual energy and ambition. I am not a rated scientist but as a student and follower of science and scientific projects since the beginning of my academic career, I have come across several books of topical interest but this time I enjoyed Quantum Mechanics in A Nutshell as a whole for its intelligence and manner of treatment of topics. All said and done, it is a book that can be enjoyed by any science student interested in quantum mechanics."--Uwe C. Tauber, Current Engineering Practice "[A] comprehensive and up-to-date exploration of quantum mechanics."--Nature Physics "This book, in spite of 11 chapters densely written, consists of a quick and very readable presentation of basic principles and an impressive number of applications of quantum mechanics. It can be profitably used in courses for beginning, intermediate and, in some cases, advanced students of physics."--Valter Moretti, Zentralblatt MATHTable of ContentsPreface xi Chapter 1: Introduction 1 1.1 Introduction 1 1.2 Schrodinger's Equation 2 1.3 Eigenfunctions 4 1.4 Measurement 8 1.5 Representations 8 1.5.1 Schrodinger Representation 9 1.5.2 Heisenberg Representation 10 1.6 Noncommuting Operators 11 Chapter 2: One Dimension 14 2.1 Square Well 14 2.2 Linear Potentials 26 2.3 Harmonic Oscillator 29 2.4 Raising and Lowering Operators 34 2.5 Exponential Potential 39 2.5.1 Bound State 40 2.5.2 Continuum State 42 2.6 Delta-Function Potential 45 2.7 Number of Solutions 48 2.8 Normalization 49 2.8.1 Bound States 49 2.8.2 Box Normalization 50 2.8.3 Delta-Function Normalization 51 2.8.4 The Limit of Infinite Volume 54 2.9 Wave Packets 56 Chapter 3: Approximate Methods 62 3.1 WKBJ 62 3.2 Bound States by WKBJ 68 3.2.1 Harmonic Oscillator 71 3.2.2 Morse Potential 71 3.2.3 Symmetric Ramp 73 3.2.4 Discontinuous Potentials 74 3.3 Electron Tunneling 76 3.4 Variational Theory 77 3.4.1 Half-Space Potential 80 3.4.2 Harmonic Oscillator in One Dimension 82 Chapter 4: Spin and Angular Momentum 87 4.1 Operators, Eigenvalues, and Eigenfunctions 87 4.1.1 Commutation Relations 88 4.1.2 Raising and Lowering Operators 89 4.1.3 Eigenfunctions and Eigenvalues 90 4.2 Representations 95 4.3 Rigid Rotations 100 4.4 The Addition of Angular Momentum 102 Chapter 5: Two and Three Dimensions 108 5.1 Plane Waves in Three Dimensions 108 5.2 Plane Waves in Two Dimensions 112 5.3 Central Potentials 114 5.3.1 Central Potentials in 3D 114 5.3.2 Central Potential in 2D 118 5.4 Coulomb Potentials 119 5.4.1 Bound States 119 5.4.2 Confluent Hypergeometric Functions 121 5.4.3 Hydrogen Eigenfunctions 121 5.4.4 Continuum States 125 5.5 WKBJ 126 5.5.1 Three Dimensions 126 5.5.2 3D Hydrogen Atom 127 5.5.3 Two Dimensions 128 5.6 Hydrogen-like Atoms 130 5.6.1 Quantum Defect 131 5.6.2 WKBJ Derivation 132 5.6.3 Expectation Values 134 5.7 Variational Theory 134 5.7.1 Hydrogen Atom: n 1 135 5.7.2 Hydrogen Atom: l 1 136 5.7.3 Helium Atom 137 5.8 Free Particles in a Magnetic Field 143 5.8.1 Gauges 143 5.8.2 Eigenfunctions and Eigenvalues 144 5.8.3 Density of States 146 5.8.4 Quantum Hall Effect 147 5.8.5 Flux Quantization 150 Chapter 6: Matrix Methods and Perturbation Theory 157 6.1 H and H0 157 6.2 Matrix Methods 158 6.2.1 2 x 2 160 6.2.2 Coupled Spins 160 6.2.3 Tight-Binding Model 163 6.3 The Stark Effect 166 6.4 Perturbation Theory 170 6.4.1 General Formulas 170 6.4.2 Harmonic Oscillator in Electric Field 174 6.4.3 Continuum States 176 6.4.4 Green's Function 180 6.5 The Polarizability 181 6.5.1 Quantum Definition 182 6.5.2 Polarizability of Hydrogen 183 6.6 Van der Waals Potential 188 6.7 Spin-Orbit Interaction 194 6.7.1 Spin-Orbit in Atoms 195 6.7.2 Alkali Valence Electron in Electric Field 199 6.8 Bound Particles in Magnetic Fields 202 6.8.1 Magnetic Susceptibility 204 6.8.2 Alkali Atom in Magnetic Field 205 6.8.3 Zeeman Effect 207 6.8.4 Paschen-Back Effect 209 Chapter 7: Time-Dependent Perturbations 213 7.1 Time-Dependent Hamiltonians 213 7.2 Sudden Approximation 215 7.2.1 Shake-up and Shake-off 216 7.2.2 Spin Precession 218 7.3 Adiabatic Approximation 220 7.4 Transition Rates: The Golden Rule 222 7.5 Atomic Excitation by a Charged Particle 226 7.6 Born Approximation to Scattering 231 7.6.1 Cross Section 232 7.6.2 Rutherford Scattering 235 7.6.3 Electron Scattering from Hydrogen 236 7.7 Particle Decay 237 Chapter 8: Electromagnetic Radiation 244 8.1 Quantization of the Field 245 8.1.1 Gauges 246 8.1.2 Lagrangian 250 8.1.3 Hamiltonian 253 8.1.4 Casimir Force 256 8.2 Optical Absorption by a Gas 258 8.2.1 Entangled Photons 268 8.3 Oscillator Strength 269 8.4 Polarizability 273 8.5 Rayleigh and Raman Scattering 278 8.6 Compton Scattering 283 Chapter 9: Many-Particle Systems 288 9.1 Introduction 288 9.2 Fermions and Bosons 289 9.2.1 Two Identical Particles 290 9.3 Exchange Energy 291 9.3.1 Two-Electron Systems 291 9.3.2 Parahelium and Orthohelium 293 9.3.3 Hund's Rules 293 9.4 Many-Electron Systems 295 9.4.1 Evaluating Determinants 295 9.4.2 Ground-State Energy 297 9.4.3 Hartree-Fock Equations 299 9.4.4 Free Electrons 301 9.4.5 Pair Distribution Function 303 9.4.6 Correlation Energy 304 9.4.7 Thomas-Fermi Theory 304 9.4.8 Density Functional Theory 307 9.5 Second Quantization 309 9.5.1 Bosons 309 9.5.2 Fermions 312 9.6 Bose-Einstein Condensation 313 9.6.1 Noninteracting Particles 313 9.6.2 Off-Diagonal Long-Range Order 314 Chapter 10: Scattering Theory 320 10.1 Elastic Scattering 320 10.1.1 Partial Wave Analysis 323 10.1.2 Scattering in Two Dimensions 326 10.1.3 Hard-Sphere Scattering 328 10.1.4 Ramsauer-Townsend Effect 330 10.1.5 Born Approximation 332 10.2 Scattering of Identical Particles 333 10.2.1 Two Free Particles 333 10.2.2 Electron Scattering from Hydrogen 335 10.3 T-Matrices 337 10.4 Distorted Wave Scattering 340 10.5 Scattering from Many Particles 343 10.5.1 Bragg Scattering 343 10.5.2 Scattering by Fluids 344 10.5.3 Strong Scattering 346 10.6 Wave Packets 347 10.6.1 Three Dimensions 347 10.6.2 Scattering by Wave Packets 348 Chapter 11: Relativistic Quantum Mechanics 352 11.1 Four-Vectors 352 11.2 Klein-Gordon Equation 354 11.2.1 Derivation 354 11.2.2 Free Particle 354 11.2.3 Currents and Densities 355 11.2.4 Step Potential 356 11.2.5 Nonrelativistic Limit 356 11.2.6 -Mesonic Atoms 357 11.3 Dirac Equation 360 11.3.1 Derivation 361 11.3.2 Current and Charge Density 364 11.3.3 Gamma-Matrices 364 11.3.4 Free-Particle Solutions 366 11.3.5 Spin-Projection Operators 369 11.3.6 Scattering of Dirac Particles 371 11.4 Antiparticles and Negative Energy States 374 11.5 Spin Averages 377 11.6 Nonrelativistic Limit 379 11.6.1 First Approximation 379 11.6.2 Second Approximation 380 11.6.3 Relativistic Corrections for Hydrogenic States 382 11.7 Relativistic Interactions 384 11.7.1 Photon Green's Function 384 11.7.2 Electron Green's Function 387 11.7.3 Boson Exchange 387 11.8 Scattering of Electron and Muon 388 Index 397

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Book SynopsisSuitable for graduate students studying the interaction of optical fields with atoms, this book provides an introduction to the prototypical problems of radiation fields interacting with two- and three- level atomic systems.Trade Review"Berman and Malinovsky's book can be recommended to graduate students and workers transferring from other areas."--D.G.C. Jones, Contemporary Physics "This high-quality, well-written book is a fine addition to the literature of modern optics... The general style is lucid and entirely fitting for a textbook... In all, this is a splendid book and I am confident that it will be widely received with considerable enthusiasm."--David L. Andrews, Optics & Photonics NewsTable of ContentsPreface xv Chapter 1: Preliminaries 1 Chapter 2: Two-Level Quantum Systems 17 Chapter 3: Density Matrix for a Single Atom 56 Chapter 4: Applications of the Density Matrix Formalism 83 Chapter 5: Density Matrix Equations: Atomic Center-of-Mass Motion, Elementary Atom Optics, and Laser Cooling 99 Chapter 6: Maxwell-Bloch Equations 120 Chapter 7: Two-Level Atoms in Two or More Fields: Introduction to Saturation Spectroscopy 136 Chapter 8: Three-Level Atoms: Applications to Nonlinear Spectroscopy-Open Quantum Systems 159 Chapter 9: Three-Level Atoms: Dark States, Adiabatic Following, and Slow Light 184 Chapter 10: Coherent Transients 206 Chapter 11: Atom Optics and Atom Interferometry 242 Chapter 12: The Quantized, Free Radiation Field 280 Chapter 13: Coherence Properties of the Electric Field 312 Chapter 14: Photon Counting and Interferometry 339 Chapter 15: Atom-Quantized Field Interactions 358 Chapter 17: Optical Pumping and Optical Lattices 402 Chapter 18: Sub-Doppler Laser Cooling 422 Chapter 19: Operator Approach to Atom-Field Interactions: Source-Field Equation 453 Chapter 20: Light Scattering 474 Chapter 21: Entanglement and Spin Squeezing 492 References 506 Bibliography 507 Index 509

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Book SynopsisTrade Review"This book is a very worthwhile, balanced, and useful summary of our current understanding of the fundamental laws of physics. Langacker covers a large amount of material in a very digestible way."—Savdeep Sethi, University of Chicago"Langacker is a renowned expert in particle physics who has made fundamental contributions to the field and lived through the golden era of the standard model. Not surprisingly, the scientific level of this informative book is impeccable."—Gian Francesco Giudice, author of A Zeptospace Odyssey: A Journey into the Physics of the LHC"Langacker has written a useful and informative book that brings the standard model to a broad audience of scientists and aspiring scientists who are interested in the current status of particle physics."—Tom Lubensky, University of PennsylvaniaTable of ContentsPreface vii 1. The Epic Quest 1 2 The Three Eras 7 2.1 The Ingredients 7 2.2 Prehistory 9 2.3 The Era of Exploration 12 2.4 The Standard Model Era 22 2.5 Beyond the Standard Model 26 3 Particles, Interactions, and Cosmology 29 3.1 The Fundamental Particles 29 3.2 The Interactions 35 3.3 Cosmology 41 4 The Standard Model 51 4.1 Gauge Invariance and QED 51 4.2 Internal Symmetries 65 4.3 Yang-Mills Theories 70 4.4 Quantum Chromodynamics 73 4.5 The SU(2) x U(1) Model 83 4.6 The Higgs Mechanism 86 4.7 The Electroweak Theory 91 5 What Don't We Know? 137 5.1 Arbitrariness and Tuning 138 5.2 Terra Incognita: Unanswered Questions 151 5.3 Are the Paradigms Correct? 163 6 How Will We Find Out? 175 6.1 The Ideas 175 6.2 The Tests 211 7. Epilogue: The Dream 223 Postscript: Run 2 226 Glossary 229 Bibliography 251 Index 259

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Book SynopsisEinstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light--the core of what we now knoTrade ReviewWinner of the 2014 Phi Beta Kappa Award in Science, Phi Beta Kappa Society One of Physics World's Top Ten Books of the Year for 2014 One of Choice's Outstanding Academic Titles for 2014 One of Scientific American's Best 2013 Books for the Physics Fan, chosen by Jennifer Ouellette One of Science Friday's Science Book Picks for 2013, chosen by Ira Flatow One of nbc.com's "Holiday Gift Books Span the Science Spectrum" for 2014 "Brief, pacey and lucid... The breadth and depth of Einstein's contribution in this area becomes overwhelmingly clear... Worth a read because it demonstrates that there is more to Einstein's oeuvre than even most quantum physicists know. Stone concludes that Einstein's work was worthy of four Nobel prizes, and it is a measure of the book's achievement that his claim sounds quite reasonable."--Graham Farmelo, Nature "Albert Einstein (1879-1955) is as famous for his paradigm-shifting theories of relativity as he is for his grudge against quantum mechanics, but Stone's (Physics/Yale Univ.) engaging history of Einstein's ardent search for a unifying theory tells a different story. Einstein's creative mind was behind almost every single major development in quantum mechanics... The author adeptly weaves his subject's personal life and scientific fame through the tumult of world war and, in accessible and bright language, brings readers deep into Einstein's struggle with both the macroscopic reality around him and the quantum reality he was trying to unlock... A wonderful reminder that Einstein's monumental role in the development of contemporary science is even more profound than history has allowed."--Kirkus Reviews "A fascinating book, so well written lay people can easily understand this. It is full of science and personality."--Ira Flatow, Science Friday, NPR "In Einstein and the Quantum: The Quest of the Valiant Swabian (Princeton University Press), a historical analysis leavened by many personal stories about Albert Einstein, A. Douglas Stone argues persuasively and engagingly that although this iconic scientist rejected quantum theory as a final theory of microscopic physics, he was responsible for most of its central concepts, including wave-particle duality, indeterminacy and the implications of identicalness."--Sir Michael Berry, Times Higher Education "Professor Douglas Stone has written an engaging book about Einstein's contributions to early quantum theory. He makes a convincing case that these contributions, most of which were made in the 20 year period between 1905 and 1925, have been historically undervalued and that it was Einstein himself, not Planck or Bohr, who deserves most credit for the initial development of quantum theory... Excellent."--Paul Edwards, Australian Physics "This is an excellent book that I recommend without reservation... Any academic library should acquire this book as should any medium-to-large public library system. It would also make a wonderful gift for the physics or science fan in your life."--John Dupuis, Confessions of a Science Librarian "In consummate detail and with a flair for the written word, [Stone] delves into Einstein's original rationale for espousing the quantum, his use of it to account for the mysterious behavior of specific heats at low temperatures, his explanations of spontaneous and stimulated emissions, and the derivation of the statistics of integer-spin particles. Readers benefit from Stone's deep understanding of quantum physics as well as his thoroughness in citing primary Einstein documents--rather than regurgitating the opinions of others--to support his conclusions... There are only a few books on the history of physics that I can heartily recommend to both scholarly historians and physicists interested in the history of their discipline. Because of Stone's extensive research and writing abilities, Einstein and the Quantum is indeed one of those books."--Michael Riordan, Forum on the History of Physics "Einstein and the Quantum is delightful to read, with numerous historical details that were new to me and cham1ing vignettes of Einstein and his colleagues. By avoiding mathematics, Stone makes his book accessible to general readers, but even physicists who are well versed in Einstein and his physics are likely to find new insights into the most remarkable mind of the modern era."--Daniel Kleppner, Physics Today "This engaging book shows that Einstein spent more of his career on quantum physics than on relativity theory and was deeply involved in discussions that shaped current understanding of the subject... His well-written book makes often-trod history fresh, with new perspectives and unfamiliar quotations from Einstein and his peers. Anyone with an interest in the subject, from scholars to laypersons, can read and enjoy this book."--Choice "The book is probably best suited to readers who are already familiar with the basic principles of late classical and early quantum physics. However, in many cases, Stone's explanations are better and more intuitive than those found in traditional textbooks; for this reason, Einstein and the Quantum would make excellent 'further reading' for undergraduate courses in thermodynamics, modern physics or the history of science. Stone also has a knack for summing up complex ideas in a way that even novices will understand."--Physics World "A five star, standout book... If you really want a feel for where quantum physics came from ... it is well worth it."--Popular Science (U.K.) "Stone is a talented writer. Employing a sharp, clean and ironic prose, he translates into intuitive images and limpid reasoning a set of complex physics arguments, which might appear at first sight incomprehensible without a clear understanding of the technical terms. It is remarkable that the author manages to do this by employing just a handful of elementary equations. Even the uninitiated reader can grasp the essential features of Einstein's groundbreaking proposals as well as of the theoretical problems he was facing. In my opinion, this is the major strength of Stone's book, which makes it much more accessible than other scholarly works that present Einstein's involvement in the development of quantum theory in a more technical fashion."--Roberto Lalli, Metascience "[S]ome background knowledge in physics is required in order to understand the discipline-specific terminology and to fully appreciate the depth of Stone's elaborations. Having said that, even specialized physicists will not be disappointed by the author's scholarly efforts."--Christopher B. Germann, Leonardo Reviews "This excellent book can be best recommended to everybody interested is the early history of quantum theory and the impact of A. Einstein."--K. E. Hellwig, Zentralblatt MATHTable of ContentsPreface to the Paperback Edition ix Acknowledgments ix Introduction A Hundred Times More Than Relativity Theory 1 Chapter 1 "An Act of Desperation" 5 Chapter 2 The Impudent Swabian 15 Chapter 3 The Gypsy Life 21 Chapter 4 Two Pillars of Wisdom 26 Chapter 5 The Perfect Instruments of the Creator 36 Chapter 6 More Heat Than Light 44 Chapter 7 Difficult Counting 51 Chapter 8 Those Fabulous Molecules 62 Chapter 9 Tripping the Light Heuristic 70 Chapter 10 Entertaining the Contradiction 80 Chapter 11 Stalking the Planck 86 Chapter 12 Calamity Jeans 94 Chapter 13 Frozen Vibrations 103 Chapter 14 Planck's Nobel Nightmare 111 Chapter 15 Joining the Union 122 Chapter 16 Creative Fusion 129 Chapter 17 The Importance of Being Nernst 141 Chapter 18 Lamenting the Ruins 149 Chapter 19 A Cosmic Interlude 160 Chapter 20 Bohr's Atomic Sonata 168 Chapter 21 Relying on Chance 181 Chapter 22 Chaotic Ghosts 193 Chapter 23 Fifteen Million Minutes of Fame 204 Chapter 24 The Indian Comet 215 Chapter 25 Quantum Dice 228 Chapter 26 The Royal Marriage: E = mc2 = hnu 241 Chapter 27 The Viennese Polymath 254 Chapter 28 Confusion and Then Uncertainty 268 Chapter 29 Nicht diese Tone 279 Appendix 1: The Physicists 287 Appendix 2: The Three Thermal Radiation Laws 291 Notes 295 References 319 Index 325

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Book SynopsisTrade Review"This book has to be seen to be believed! The title, Group Theory, is nothing if not surprising, given that the material dealt with by Predrag Cvitanović in these roughly 250 pages requires a level of sophistication well beyond what is offered in the early stages of university algebra. In point of fact, the general theme of the book under review is Lie theory with representation theory in the foreground, and Cvitanović's revolutionary goal (e.g., 'birdtracks') and, for lack of a better word, the attendant combinatorics. . . . [F]or the right reader, which is to say, an R>0-linear combination of mathematician and physicist equipped with a zeal for novel combinatorics flavored diagram-gymnastics, this book will be a treat and a thrill, and its new and radical way to compute many things Lie is bound to make its mark."---Michael Berg, MAA Reviews"More than just an innovative notation, this book offers a conceptually novel alternative path to a key mathematical result, the classification of finite-dimensional simple Lie algebras. . . . While this volume is an obvious resource for physics students, the traces of physics that remain in the work will elucidate for mathematics students how physics uses Lie groups as a tool."---D.V. Feldman, Choice"I think that the book is a very interesting and thought provoking contribution to the literature on representations of compact Lie groups. It has many interesting original aspects that deserve to be known much better than they are."---Karl-Hermann Neeb, Journal of the Lie Theory"[T]he narrative of the book is written in a relaxed and witty style. The book is intriguing as well as entertaining."---Jeb F. Willenbring, Mathematical Reviews

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Book SynopsisPresents an introduction to the theory of quantum computing. This book starts with the basics of classical theory of computation: Turing machines, Boolean circuits, parallel algorithms, probabilistic computation, NP-complete problems, and the idea of complexity of an algorithm. It provides an exposition of quantum computation theory.Table of ContentsIntroduction Classical computation Quantum computation Solutions Elementary number theory Bibliography Index.

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Book SynopsisFocuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.Table of ContentsIntroduction The basic processes Bound state problems Inequalities Magnetic fields and stochastic integrals Asymptotics Other topics References Index Bibliographic supplement Bibliography.

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