Quantum physics Books

Book SynopsisThe Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research. The 2011 workshop focussed on the works of the late Felix A. Berezin (1931–1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today’s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds. Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik’s geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.

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Book SynopsisThe work provides fundamental expertise of quantum optics and photonic quantum technology with particular attention to the generation of non-classical light with semiconductor nanostructures. The book is written by experimentalists for experimentalists at various career stages: physics and engineering students, researchers in quantum optics, industry experts in quantum technology. A didactical structure is followed, having in each chapter overview and summary of the discussed topics, allowing for a quick consultation. The book covers:

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Book SynopsisHow does a quantum computer work and how can photons be used to transmit messages securely? Intended for engineering and computer science students, this introduction to quantum technologies presents the fundamentals of quantum computing, quantum communication, and quantum sensing without requiring extensive previous knowledge of physics.

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Book SynopsisThis work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions. The author addresses all these topics with utter mathematical rigor. The high number of instructive Appendices and numerous Remark sections supply the necessary background knowledge.

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Book SynopsisPrecision and uniformity are indispensable when working with physical quantities, units and formula symbols. Only through unambiguous and authoritative notation is interdisciplinary cooperation possible. The book gives an overview of all common quantities and units, which are needed in studies and teaching as well as in everyday work. All printed quantities and units are currently valid and standardized in ISO/IEC. The book includes: _brief introduction to the development of the system of units _overview on the system of quantities and units _calculating with quantity values _units (international system of units, SI) _notation of numbers _mathematical symbols _Standardized symbols for quantities (mechanics, space and time, radiation, solid state physics, etc.), elements, nuclides, particles and quantum states. _Appendix: conversion to the U.S. customary system of units.

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Book SynopsisThis book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.Trade Review“This book originates from a course on advanced quantum mechanics given by the author at the Politechnico Turin for students of physical engineering to provide them with some insight into modern fundamental physics. … This book not merely gives some insight into modern fundamental physics but also renders a good fundament for further studies of quantum field theory and elementary article physics in that correct suggestions are mediated.” (K.-E. Hellwig, zbMATH 1371.81001, 2017)Table of ContentsSpecial Relativity.- Relativistic Dynamics.- The Equivalence Principle.- The Poincaré Group.- Maxwell Equations and Special Relativity.- Quantization of the Electromagnetic Field.- Group Representations and Lie Algebras.- Lagrangian and Hamiltonian Formalism.- Quantum Mechanics Formalism.- Relativistic Wave Equations.- Quantization of Boson and Fermion Fields.- Fields in Interaction.

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Book SynopsisAtomic physics and its underlying quantum theory are the point of departure for many modern areas of physics, astrophysics, chemistry, biology, and even electrical engineering. This textbook provides a careful and eminently readable introduction to the results and methods of empirical atomic physics. The student will acquire the tools of quantum physics and at the same time learn about the interplay between experiment and theory. A chapter on the quantum theory of the chemical bond provides the reader with an introduction to molecular physics. Plenty of problems are given to elucidate the material. The authors also discuss laser physics and nonlinear spectroscopy, incorporating latest experimental results and showing their relevance to basic research. Extra items in the second edition include solutions to the exercises, derivations of the relativistic Klein-Gordon and Dirac equations, a detailed theoretical derivation of the Lamb shift, a discussion of new developments in the spectroscopy of inner shells, and new applications of NMR spectroscopy, for instance tomography.Table of Contents1. Introduction.- 1.1 Classical Physics and Quantum Mechanics.- 1.2 Short Historical Review.- 2. The Mass and Size of the Atom.- 2.1 What is an Atom?.- 2.2 Determination of the Mass.- 2.3 Methods for Determining Avogadro’s Number.- 2.3.1 Electrolysis.- 2.3.2 The Gas Constant and Boltzmann’s Constant.- 2.3.3 X-Ray Diffraction in Crystals.- 2.3.4 Determination Using Radioactive Decay.- 2.4 Determination of the Size of the Atom.- 2.4.1 Application of the Kinetic Theory of Gases.- 2.4.2 The Interaction Cross Section.- 2.4.3 Experimental Determination of Interaction Cross Sections.- 2.4.4 Determining the Atomic Size from the Covolume.- 2.4.5 Atomic Sizes from X-Ray Diffraction Measurements on Crystals.- 2.4.6 Can Individual Atoms Be Seen?.- Problems.- 3. Isotopes.- 3.1 The Periodic System of the Elements.- 3.2 Mass Spectroscopy.- 3.2.1 Parabola Method.- 3.2.2 Improved Mass Spectrometers.- 3.2.3 Results of Mass Spectrometry.- 3.2.4 Modern Applications of the Mass Spectrometer.- 3.2.5 Isotope Separation.- Problems.- 4. The Nucleus of the Atom.- 4.1 Passage of Electrons Through Matter.- 4.2 Passage of Alpha Particles Through Matter (Rutherford Scattering).- 4.2.1 Some Properties of Alpha Particles.- 4.2.2 Scattering of Alpha Particles by a Foil.- 4.2.3 Derivation of the Rutherford Scattering Formula.- 4.2.4 Experimental Results.- 4.2.5 What is Meant by Nuclear Radius?.- Problems.- 5. The Photon.- 5.1 Wave Character of Light.- 5.2 Thermal Radiation.- 5.2.1 Spectral Distribution of Black Body Radiation.- 5.2.2 Planck’s Radiation Formula.- 5.2.3 Einstein’s Derivation of Planck’s Formula.- 5.3 The Photoelectric Effect.- 5.4 The Compton Effect.- 5.4.1 Experiments.- 5.4.2 Derivation of the Compton Shift.- Problems.- 6. The Electron.- 6.1 Production of Free Electrons.- 6.2 Size of the Electron.- 6.3 The Charge of the Electron.- 6.4 The Specific Charge e/m of the Electron.- 6.5 Wave Character of Electrons.- Problems.- 7. Some Basic Properties of Matter Waves.- 7.1 Wave Packets.- 7.2 Probabilistic Interpretation.- 7.3 The Heisenberg Uncertainty Relation.- 7.4 The Energy-Time Uncertainty Relation.- 7.5 Some Consequences of the Uncertainty Relations for Bound States.- Problems.- 8. Bohr’s Model of the Hydrogen Atom.- 8.1 Basic Principles of Spectroscopy.- 8.2 The Optical Spectrum of the Hydrogen Atom.- 8.3 Bohr’s Postulates.- 8.4 Some Quantitative Conclusions.- 8.5 Motion of the Nucleus.- 8.6 Spectra of Hydrogen-like Atoms.- 8.7 Muonic Atoms.- 8.8 Excitation of Quantum Jumps by Collisions.- 8.9 Sommerfeld’s Extension of the Bohr Model and the Experimental Justification of a Second Quantum Number.- 8.10 Lifting of Orbital Degeneracy by the Relativistic Mass Change.- 8.11 Limits of the Bohr-Sommerfeld Theory. The Correspondence Principle.- 8.12 Rydberg Atoms.- Problems.- 9. The Mathematical Framework of Quantum Theory.- 9.1 The Particle in a Box.- 9.2 The Schrödinger Equation.- 9.3 The Conceptual Basis of Quantum Theory.- 9.3.1 Observations, Values of Measurements and Operators.- 9.3.2 Momentum Measurement and Momentum Probability.- 9.3.3 Average Values and Expectation Values.- 9.3.4 Operators and Expectation Values.- 9.3.5 Equations for Determining the Wavefunction.- 9.3.6 Simultaneous Observability and Commutation Relations.- 9.4 The Quantum Mechanical Oscillator.- Problems.- 10. Quantum Mechanics of the Hydrogen Atom.- 10.1 Motion in a Central Field.- 10.2 Angular Momentum Eigenfunctions.- 10.3 The Radial Wavefunctions in a Central Field.- 10.4 The Radial Wavefunctions of Hydrogen.- Problems.- 11. Lifting of the Orbital Degeneracy in the Spectra of Alkali Atoms.- 11.1 Shell Structure.- 11.2 Screening.- 11.3 The Term Diagram.- 11.4 Inner Shells.- Problems.- 12. Orbital and Spin Magnetism. Fine Structure.- 12.1 Introduction and Overview.- 12.2 Magnetic Moment of the Orbital Motion.- 12.3 Precession and Orientation in a Magnetic Field.- 12.4 Spin and Magnetic Moment of the Electron.- 12.5 Determination of the Gyromagnetic Ratio by the Einstein-de Haas Method.- 12.6 Detection of Directional Quantisation by Stern and Gerlach.- 12.7 Fine Structure and Spin-Orbit Coupling: Overview.- 12.8 Calculation of Spin-Orbit Splitting in the Bohr Model.- 12.9 Level Scheme of the Alkali Atoms.- 12.10 Fine Structure in the Hydrogen Atom.- 12.11 The Lamb Shift.- Problems.- 13. Atoms in a Magnetic Field: Experiments and Their Semiclassical Description.- 13.1 Directional Quantisation in a Magnetic Field.- 13.2 Electron Spin Resonance.- 13.3 The Zeeman Effect.- 13.3.1 Experiments.- 13.3.2 Explanation of the Zeeman Effect from the Standpoint of Classical Electron Theory.- 13.3.3 Description of the Ordinary Zeeman Effect by the Vector Model.- 13.3.4 The Anomalous Zeeman Effect.- 13.3.5 Magnetic Moments with Spin-Orbit Coupling.- 13.4 The Paschen-Back Effect.- 13.5 Double Resonance and Optical Pumping.- Problems.- 14. Atoms in a Magnetic Field: Quantum Mechanical Treatment.- 14.1 Quantum Theory of the Ordinary Zeeman Effect.- 14.2 Quantum Theoretical Treatment of the Electron and Proton Spins.- 14.2.1 Spin as Angular Momentum.- 14.2.2 Spin Operators, Spin Matrices and Spin Wavefunctions.- 14.2.3 The Schrödinger Equation of a Spin in a Magnetic Field.- 14.2.4 Description of Spin Precession by Expectation Values.- 14.3 Quantum Mechanical Treatment of the Anomalous Zeeman Effect with Spin-Orbit Coupling*.- 14.4 Quantum Theory of a Spin in Mutually Perpendicular Magnetic Fields, One Constant and One Time Dependent.- 14.5 The Bloch Equations.- 14.6 The Relativistic Theory of the Electron. The Dirac Equation.- Problems.- 15. Atoms in an Electric Field.- 15.1 Observations of the Stark Effect.- 15.2 Quantum Theory of the Linear and Quadratic Stark Effects.- 15.2.1 The Hamiltonian.- 15.2.2 The Quadratic Stark Effect. Perturbation Theory Without Degeneracy.- 15.2.3 The Linear Stark Effect. Perturbation Theory in the Presence of Degeneracy.- 15.3 The Interaction of a Two-Level Atom with a Coherent Radiation Field.- 15.4 Spin- and Photon Echoes.- 15.5 A Glance at Quantum Electrodynamics.- 15.5.1 Field Quantization.- 15.5.2 Mass Renormalization and Lamb Shift.- Problems.- 16. General Laws of Optical Transitions.- 16.1 Symmetries and Selection Rules.- 16.1.1 Optical Matrix Elements.- 16.1.2 Examples of the Symmetry Behaviour of Wavefunctions.- 16.1.3 Selection Rules.- 16.1.4 Selection Rules and Multipole Radiation.- 16.2 Linewidths and Lineshapes.- 17. Many-Electron Atoms.- 17.1 The Spectrum of the Helium Atom.- 17.2 Electron Repulsion and the Pauli Principle.- 17.3 Angular Momentum Coupling.- 17.3.1 Coupling Mechanism.- 17.3.2 LS Coupling (Russell-Saunders Coupling).- 17.3.3 jj Coupling.- 17.4 Magnetic Moments of Many-Electron Atoms.- 17.5 Multiple Excitations.- Problems.- 18. X-Ray Spectra, Internal Shells.- 18.1 Introductory Remarks.- 18.2 X-Radiation from Outer Shells.- 18.3 X-Ray Bremsstrahlung Spectra.- 18.4 Emission Line Spectra: Characteristic Radiation.- 18.5 Fine Structure of the X-Ray Spectra.- 18.6 Absorption Spectra.- 18.7 The Auger Effect (Inner Photoeffect).- 18.8 Photoelectron Spectroscopy (XPS), ESCA.- Problems.- 19. Structure of the Periodic System. Ground States of the Elements.- 19.1 Periodic System and Shell Structure.- 19.2 Ground States of Atoms.- 19.3 Excited States and Complete Term Scheme.- 19.4 The Many-Electron Problem. Hartree-Fock Method.- 19.4.1 The Two-Electron Problem.- 19.4.2 Many Electrons Without Mutual Interactions.- 19.4.3 Coulomb Interaction of Electrons. Hartree and Hartree-Fock Methods.- Problems.- 20. Nuclear Spin, Hyperfine Structure.- 20.1 Influence of the Atomic Nucleus on Atomic Spectra.- 20.2 Spins and Magnetic Moments of Atomic Nuclei.- 20.3 The Hyperfine Interaction.- 20.4 Hyperfine Structure in the Ground States of the Hydrogen and Sodium Atoms.- 20.5 Hyperfine Structure in an External Magnetic Field, Electron Spin Resonance.- 20.6 Direct Measurements of Nuclear Spins and Magnetic Moments, Nuclear Magnetic Resonance.- 20.7 Applications of Nuclear Magnetic Resonance.- 20.8 The Nuclear Electric Quadrupole Moment.- Problems.- 21. The Laser.- 21.1 Some Basic Concepts for the Laser.- 21.2 Rate Equations and Lasing Conditions.- 21.3 Amplitude and Phase of Laser Light.- Problems.- 22. Modern Methods of Optical Spectroscopy.- 22.1 Classical Methods.- 22.2 Quantum Beats.- 22.3 Doppler-free Saturation Spectroscopy.- 22.4 Doppler-free Two-Photon Absorption.- 22.5 Level-Crossing Spectroscopy and the Hanle Effect.- 23. Fundamentals of the Quantum Theory of Chemical Bonding.- 23.1 Introductory Remarks.- 23.2 The Hydrogen-Molecule Ion H2+.- 23.3 The Tunnel Effect.- 23.4 The Hydrogen Molecule H2.- 23.5 Covalent-Ionic Resonance.- 23.6 The Hund-Mulliken-Bloch Theory of Bonding in Hydrogen.- 23.7 Hybridisation.- 23.8 The ? Electrons of Benzene, C6H6.- Problems.- A. The Dirac Delta Function and the Normalisation of the Wavefunction of a Free Particle in Unbounded Space.- B. Some Properties of the Hamiltonian Operator, Its Eigenfunctions and Its Eigenvalues.- Bibliography of Supplementary and Specialised Literature.- Fundamental Constants of Atomic Physics (Inside Front Cover).- Energy Conversion Table (Inside Back Cover).

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Book SynopsisIn these lectures we summarize certain results on models in statistical physics and quantum field theory and especially emphasize the deep relation­ ship between these subjects. From a physical point of view, we study phase transitions of realistic systems; from a more mathematical point of view, we describe field theoretical models defined on a euclidean space-time lattice, for which the lattice constant serves as a cutoff. The connection between these two approaches is obtained by identifying partition functions for spin models with discretized functional integrals. After an introduction to critical phenomena, we present methods which prove the existence or nonexistence of phase transitions for the Ising and Heisenberg models in various dimensions. As an example of a solvable system we discuss the two-dimensional Ising model. Topological excitations determine sectors of field theoretical models. In order to illustrate this, we first discuss soliton solutions of completely integrable classical models. Afterwards we dis­ cuss sectors for the external field problem and for the Schwinger model. Then we put gauge models on a lattice, give a survey of some rigorous results and discuss the phase structure of some lattice gauge models. Since great interest has recently been shown in string models, we give a short introduction to both the classical mechanics of strings and the bosonic and fermionic models. The formulation of the continuum limit for lattice systems leads to a discussion of the renormalization group, which we apply to various models.Table of Contents1. Introduction.- 1.1 Phase Transitions — Critical Phenomena.- 1.1.1 Historical Survey.- 1.1.2 Gas-Liquid Transition.- 1.1.3 Ferromagnetism.- 1.1.4 Critical Exponents.- 2. Spin Systems.- 2.1 Ising Model — General Results.- 2.1.1 Introduction.- 2.1.2 Ising Model in One Dimension.- 2.1.3 Duality.- 2.1.4 Peierls’ Argument.- 2.1.5 Correlation Inequalities.- 2.2 Heisenberg Model.- 2.2.1 Bogoliubov Inequality.- 2.2.2 Absence of Spontaneous Magnetization for d = 1 and d = 2.- 2.2.3 Existence of a Phase Transition for d Greater than or Equal to Three.- 2.3 ø4-Model.- 2.3.1 Random Walk on a Lattice.- 2.3.2 Polymer Representation.- 2.3.3 Correlation Inequality.- 2.3.4 Continuum Limit.- 2.4 Two-Dimensional Ising Model.- 2.4.1 Transfer Matrix.- 2.4.2 Klein-Jordan-Wigner Transformation.- 2.4.3 Fourier Transformation.- 2.4.4 Bogoliubov Transformation.- 3. Two-Dimensional Field Theory.- 3.1 Solitons.- 3.1.1 Inverse Scattering Formalism.- 3.1.2 Solving Certain Nonlinear Partial Differential Equations.- 3.1.3 A Model for Polyacetylene.- 3.2 Sectors in Field Theoretical Models.- 3.2.1 External Field Problems.- 3.2.2 The Schwinger Model.- 4. Lattice Gauge Models.- 4.1 Formulation.- 4.1.1 Axioms.- 4.1.2 The Rolling Ball.- 4.1.3 Classical Field Theory.- 4.1.4 Formulation of Lattice Gauge Models.- 4.1.5 Fermions on the Lattice.- 4.2 Rigorous Results.- 4.2.1 Faddeev-Popov “Trick” on a Lattice.- 4.2.2 Physical Positivity = Osterwalder-Schrader Positivity.- 4.2.3 Cluster Expansion.- 4.2.4 Confinement.- 4.2.5 Remarks on Numerical Methods.- 4.2.6 Recent Developments.- 5. String Models.- 5.1 Introduction to Strings.- 5.1.1 Classical Mechanics of Strings.- 5.1.2 Quantization of the Bosonic String.- 5.1.3 Fermionic Strings and Superstrings.- 6. Renormalization Group.- 6.1 Formulation.- 6.1.1 Scaling Laws.- 6.1.2 Kadanoff’s Block Spin Method.- 6.1.3 Wilson’s Renormalization Group Ideas.- 6.1.4 Ising Model d = 1.- 6.2 Application of the Renormalization Group Ideas to Special Models.- 6.2.1 Central Limit Theorem.- 6.2.2 Hierarchical Model.- 6.2.3 Two-Dimensional Ising Model.- 6.2.4 Ginzburg-Landau-Wilson Model.- 6.2.5 Feigenbaum’s Route to Chaos.- General References.

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Book SynopsisMotivates students by challenging them with real-life applications of the somtimes esoteric aspects of quantum mechanics that they are learning. Offers completely original excerices developed at teh Ecole Polytechnique in France, which is know for its innovative and original teaching methods. Problems from modern physics to help the student apply just-learnt theory to fields such as molecular physics, condensed matter physics or laser physics.Trade ReviewFrom the reviews of the second edition: "This problem based textbook is a concise and particularly useful reference of quantum mechanics as used in a large range of modern applications in physics. … At the end of each section worked solutions, references and general comments are given … . this book of problems would be very useful for any physics departmental, or indeed individual research group, library. Highly recommended." (Lloyd C L Hollenberg, Australian Physics, Vol. 32 (6), 2007)Table of ContentsElementary Particles, Nuclei and Atoms.- Neutrino Oscillations.- Summary of Quantum Mechanics.- Quantum Entanglement and Measurement.- The EPR Problem and Bell’s Inequality.- Complex Systems.- Exact Results for the Three-Body Problem.- Atomic Clocks.- Neutron Interferometry.- Spectroscopic Measurement on a Neutron Beam.- Analysis of a Stern-Gerlach Experiment.- Measuring the Electron Magnetic Moment Anomaly.- Decay of a Tritium Atom.- The Spectrum of Positronium.- The Hydrogen Atom in Crossed Fields.- Energy Loss of Ions in Matter.- Schrödinger’s Cat.- Quantum Cryptography.- Direct Observation of Field Quantization.- Ideal Quantum Measurement.- The Quantum Eraser.- A Quantum Thermometer.- Properties of a Bose-Einstein Condensate.- Magnetic Excitons.- A Quantum Box.- Colored Molecular Ions.- Hyperfine Structure in Electron Spin Resonance.- Probing Matter with Positive Muons.- Quantum Reflection of Atoms from a Surface.- Laser Cooling and Trapping.- Bloch Oscillations.

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Book SynopsisThe goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.Trade ReviewFrom the reviews: "The book is based on the courses of lectures given by the author in the two winter semesters of 2003-2004 and 2005-2006 at the University of Hamburg as a DFG Mercator professor in Hamburg as well as on the course given in 2003-2004 at the University of Karlsruhe. It will be useful for postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1111 (8), 2007)Table of ContentsFeynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by MB Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov’s Method.- Evaluation by Differential Equations.- Tables.- Some Special Functions.- Summation Formulae.- Table of MB Integrals.- Analysis of Convergence and Sector Decompositions.- A Brief Review of Some Other Methods.- Applying Gröbner Bases to Solve IBP Relations.- Solutions.

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Book SynopsisA unique legacy, these lecture notes of Schwinger’s course held at the University of California at Los Angeles were carefully edited by his former collaborator Berthold-Georg Englert and constitute both a self-contained textbook on quantum mechanics and an indispensable source of reference on this fundamental subject by one of the foremost thinkers of twentieth century physics.Trade ReviewFrom the reviews: "Quantum Mechanics: Symbolism of Atomic Measurements is not just another textbook on quantum mechanics. Rather, it contains truly novel elements of both content and style. In particular, Schwinger begins his treatment not with de Broglie waves or the Schrödinger equation but rather with the measurement process. His idea is to derive, or at least make plausible, the formalism of state vectors, bras and kets, by reference to quantum measurements such as the Stern-Gerlach experiment. This [...] is simply the basis of a new way of teaching quantum mechanics. This opening chapter should be of interest to all scholars of quantum theory and might form a new topic of research for philosophers of quantum mechanics." (Contemporary Physics, 44/2, 2003) "There are dozen of excellent textbooks on the market. But this one really is different." (T. Kibble, The Times Higher Education Supplement, 2001) "The material covered is superficially similar to that of a typical graduate quantum mechanics course [...] However, each chapter has beautiful and unusual treatments of familiar topics. [...] This book would make an outstanding supplement and reference for a graduate quantum mechanics course. Theoretical physicists will delight in this wonderful book, which should be available in the library system of any institution with a research or graduate program in physics. Graduate students through professionals." (CHOICE, Dec. 2001) "The book is a tour-de-force. Once the groundwork is laid, he goes into subjects with the mathematical virtuosity for which he was famous – not advanced mathematics, but the incredible use of simple mathematics. … there are gems throughout the book. … it is a wonderful book for a professor to own, like Feyman’s lectures, because there is so much to learn from it. … The book was lovingly edited from some UCLA lecture notes, by Berthold-Georg Englert, a longtime student and assistant of Schwinger’s … ." (Daniel Greenberger, American Journal of Physics, Vol 71 (9), 2003) "Editor Englert has performed a service for physicists everywhere by making available this book, which is based on Schwinger’s unpublished UCLA lecture notes. … each chapter has beautiful and unusual treatments of familiar topics. … There are excellent problems at the end of each chapter. This book would make an outstanding supplement and reference for a graduate quantum mechanics course. Theoretical physicists will delight in this wonderful book, which should be available in the library system of any institution with a research or graduate program … ." (M. C. Ogilvie, CHOICE, December, 2001) "The book commences with an absorbing prologue in which Schwinger talks us through the development of quantum mechanic and quantum field theory in an easy conversational style. … The book is packed with exercises for the reader to attempt. … Anyone who works religiously through these exercises will acquire a thoroughly adequate command of quantum mechanics." (W. Cox, Mathematical Reviews, Issue 2002 h) "Quantum mechanics: Symbolism of Atomic Measurements is not just another textbook on quantum mechanics. Rather, it contains truly novel elements of both content and style. … This opening chapter should be of interest to all scholars of quantum theory and might form a new topic of research for philosophers of quantum mechanics. Throughout the text, new material is presented at a breathless pace. All the usual elements of the subject are there, but Schwinger’s presentation reveals surprises in even the most familiar of these." (S. M. Barnett, Contemporary Physics, Vol. 44 (2), 2003) "In the beginning, the editor has added an important material in the form of a prologue … . This is one of the best treatments of the philosophy of quantum mechanics, which I have come across. … One of the major features of the book is the incorporation of a large number of problems … . the contents of the problems are well integrated in the text and have become part of it. This has caused a rich and tight structure of the logical arguments." (S. S. Bhattacharyya, Indian Journal of Physics, Vol. 76B (3), 2002) "This unique textbook is based upon the lecture notes that Julian Schwinger wrote up for the students of the quantum mechanics course … . this book would probably make an ideal quantum mechanics reference … . There are a large number of problems included at the end of each chapter, which comprise an excellent resource for any lecturer … . this textbook is a unique resource, which provides an insight into the thoughts and deliberations of one of this century’s giants of quantum mechanics." (P. C. Dastoor, The Physicist, Vol. 38 (5), 2001) "There are dozens of excellent textbooks on the market. But this one really is different. … there is a carefully argued historical and philosophical prologue that sets the scene, centred on the two key features of quantum physics – atomicity and its probabilistic character; this alone would make the book worthwhile. The emphasis on discrete variables is a very modern approach… . To a theoretical physicist, this book is a delight and a wonderful resource. … This is a book I shall treasure." (Tom Kibble, Times Higher Education Supplement, September, 2001)Table of ContentsPrologue.- A. Fall Quarter: Quantum Kinematics.- 1 Measurement Algebra.- 2 Continuous q, p Degree of Freedom.- 3 Angular Momentum.- 4 Galilean Invariance.- B. Winter Quarter: Quantum Dynamics.- 5 Quantum Action Principle.- 6 Elementary Applications.- 7 Harmonic Oscillators.- 8 Hydrogenic Atoms.- C. Spring Quarter: Interacting Particles.- 9 Two-Particle Coulomb Problem.- 10 Identical Particles.- 11 Many-Electron Atoms.- 12 Electromagnetic Radiation.

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Book SynopsisTable of Contents§0. Das Quantenfeld erhellt die Welt.- §1. Licht.- I: Ein Teilchen ohne Magnetfeld und Spin.- II: Ein Teilchen mit Magnetfeld und Spin nach Paul.- III: Atome und Moleküle.- IV: Strahlung, Quantenoptik.- V: Relativistische Teilchen.- VI: Periodische Systeme. Statistik. Quanteninformatik.

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Book SynopsisThe new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto­ gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter­ nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char­ acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor­ malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to­ gether with a few other principles of general nature.Trade Review"Indeed, both the expert in the field and the novice will enjoy Haags insightful exposition... This (superb) book is bound to occupy a place on a par with other classics in the mathematical physics literature." Physics Today "...enjoyable reading to anybody interested in the development of fundamental physical theories." Zentralblatt f. MathematikTable of ContentsI. Background.- 1. Quantum Mechanics.- Basic concepts, mathematical structure, physical interpretation..- 2. The Principle of Locality in Classical Physics and the Relativity Theories.- Faraday’s vision. Fields..- 2.1 Special relativity. Poincaré group. Lorentz group. Spinors. Conformal group..- 2.2 Maxwell theory..- 2.3 General relativity..- 3. Poincaré Invariant Quantum Theory.- 3.1 Geometric symmetries in quantum physics. Projective representations and the covering group..- 3.2 Wigner’s analysis of irreducible, unitary representations of the Poincare group. 3.3 Single particle states. Spin..- 3.4 Many particle states: Bose-Fermi alternative, Fock space, creation operators. Separation of CM-motion..- 4. Action Principle.- Lagrangean. Double rôle of physical quantities. Peierls’ direct definition of Poisson brackets. Relation between local conservation laws and symmetries..- 5. Basic Quantum Field Theory.- 5.1 Canonical quantization..- 5.2 Fields and particles..- 5.3 Free fields..- 5.4 The Maxwell-Dirac system. Gauge invariance..- 5.5 Processes..- II. General Quantum Field Theory.- 1. Mathematical Considerations and General Postulates.- 1.1 The representation problem..- 1.2 Wightman axioms..- 2. Hierarchies of Functions.- 2.1 Wightman functions, reconstruction theorem, analyticity in x-space..- 2.2 Truncated functions, clustering. Generating functionals and linked cluster theorem..- 2.3 Time ordered functions..- 2.4 Covariant perturbation theory, Feynman diagrams. Renormalization..- 2.5 Vertex functions and structure analysis..- 2.6 Retarded functions and analyticity in p-space..- 2.7 Schwinger functions and Osterwalder-Schrader theorem..- 3. Physical Interpretation in Terms of Particles.- 3.1 The particle picture: Asymptotic particle configurations and collision theory..- 3.2 Asymptotic fields. S-matrix..- 3.3 LSZ-formalism..- 4. General Collision Theory.- 4.1 Polynomial algebras of fields. Almost local operators..- 4.2 Construction of asymptotic particle states..- 4.3. Coincidence arrangements of detectors..- 4.4 Generalized LSZ-formalism..- 5. Some Consequences of the Postulates.- 5.1 CPT-operator. Spin-statistics theorem. CPT-theorem..- 5.2 Analyticity of the S-matrix..- 5.3 Reeh-Schlieder theorem..- 5.4 Additivity of the energy-momentum-spectrum..- 5.5 Borchers classes..- III. Algebras of Local Observables and Fields.- 1. Review of the Perspective.- Characterization of the theory by a net of local algebras. Bounded operators. Unobservable fields, superselection rules and the net of abstract algebras of observables. Transcription of the basic postulates..- 2. Von Neumann Algebras. C*-Algebras. W*-Algebras.- 2.1 Algebras of bounded operators. Concrete C*-algebras and von Neumann algebras. Isomorphisms. Reduction. Factors. Classification of factors..- 2.2 Abstract algebras and their representations. Abstract C*-algebras. Relation between the C*-norm and the spectrum. Positive linear forms and states. The GNS-construction. Folia of states. Intertwiners. Primary states and cluster property. Purification. W*-algebras..- 3. The Net of Algebras of Local Observables.- 3.1 Smoothness and integration. Local definiteness and local normality..- 3.2 Symmetries and symmetry breaking. Vacuum states. The spectral ideals..- 3.3 Summary of the structure..- 4. The Vacuum Sector.- 4.1 The orthocomplemented lattice of causally complete regions..- 4.2 The net of von Neumann algebras in the vacuum representation..- IV. Charges, Global Gauge Groups and Exchange Symmetry.- 1. Charge Superselection Sectors.- “Strange statistics”. Charges. Selection criteria for relevant sectors. The program and survey of results..- 2. The DHR-Analysis.- 2.1 Localized morphisms..- 2.2 Intertwiners and exchange symmetry (“Statistics”)..- 2.3 Charge conjugation, statistics parameter..- 2.4 Covariant sectors and energy-momentum spectrum..- 2.5 Fields and collision theory..- 3. The Buchholz-Fredenhagen-Analysis.- 3.1 Localized 1-particle states..- 3.2 BF-topological charges..- 3.3 Composition of sectors and exchange symmetry..- 3.4 Charge conjugation and the absence of “infinite statistics”..- 4. Global Gauge Group and Charge Carrying Fields.- Implementation of endomorphisms. Charges with d = 1. Endomorphisms and non Abelian gauge group. DR categories and the embedding theorem..- 5. Low Dimensional Space-Time and Braid Group Statistics.- Statistics operator and braid group representations. The 2+1-dimensional case with BF-charges. Statistics parameter and Jones index..- V. Thermal States and Modular Automorphisms.- 1. Gibbs Ensembles, Thermodynamic Limit, KMS-Condition.- 1.1 Introduction..- 1.2 Equivalence of KMS-condition to Gibbs ensembles for finite volume..- 1.3 The arguments for Gibbs ensembles..- 1.4 The representation induced by a KMS-state..- 1.5 Phases, symmetry breaking and the decomposition of KMS-states..- 1.6 Variational principles and autocorrelation inequalities..- 2. Modular Automorphisms and Modular Conjugation.- 2.1 The Tomita-Takesaki theorem..- 2.2 Vector representatives of states. Convex cones in H..- 2.3 Relative modular operators and Radon-Nikodym derivatives..- 2.4 Classification of factors..- 3. Direct Characterization of Equilibrium States.- 3.1 Introduction..- 3.2 Stability..- 3.3 Passivity..- 3.4 Chemical potential..- 4. Modular Automorphisms of Local Algebras.- 4.1 The Bisognano-Wichmann theorem..- 4.2 Conformal invariance and the theorem of Hislop and Longo..- 5. Phase Space, Nuclearity, Split Property, Local Equilibrium.- 5.1 Introduction..- 5.2 Nuclearity and split property..- 5.3 Open subsystems..- 5.4 Modular nuclearity..- 6. The Universal Type of Local Algebras.- VI. Particles. Completeness of the Particle Picture.- 1. Detectors, Coincidence Arrangements, Cross Sections.- 1.1 Generalities..- 1.2 Asymptotic particle configurations. Buchholz’s strategy..- 2. The Particle Content.- 2.1 Particles and infraparticles..- 2.2 Single particle weights and their decomposition..- 2.3 Remarks on the particle picture and its completeness..- 3. The Physical State Space of Quantum Electrodynamics.- VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives.- 1. The Copenhagen Spirit. Criticisms, Elaborations.- Niels Bohr’s epistemological considerations. Realism. Physical systems and the division problem. Persistent non-classical correlations. Collective coordinates, decoherence and the classical approximation. Measurements. Correspondence and quantization. Time reflection asymmetry of statistical conclusions..- 2. The Mathematical Formalism.- Operational assumptions. “Quantum Logic”. Convex cones..- 3. The Evolutionary Picture.- Events, causal links and their attributes. Irreversibility. The EPR-effect. Ensembles vs. individuals. Decisions. Comparison with standard procedure..- VIII. Retrospective and Outlook.- 1. Algebraic Approach vs. Euclidean Quantum Field Theory.- 2. Supersymmetry.- 3. The Challenge from General Relativity.- 3.1 Introduction..- 3.2 Quantum field theory in curved space-time..- 3.3 Hawking temperature and Hawking radiation..- 3.4 A few remarks on quantum gravity..- Author Index and References.

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Book SynopsisThis second volume of Howard Carmichael’s work continues the development of the methods used in quantum optics to treat open quantum systems and their fluctuations. Its early chapters build upon the phase-space methods introduced in Volume 1. Written on a level suitable for debut researchers or students in an advanced course in quantum optics, or a course in quantum mechanics or statistical physics that deals with open quantum systems.Table of ContentsThe Degenerate Parametric OscillatorI: Squeezed States.- The Degenerate Parametric OscillatorII: Phase-Space Analysisinthe Small-Noise Limit.- The PositiveP Representation.- The Degenerate Parametric OscillatorIII: Phase-Space Analysis Outside the Small-Noise Limit.- Cavity QED I: Simple Calculations.- Many Atoms in a Cavity: Macroscopic Theory.- Many Atoms in a Cavity II: Quantum Fluctuations in the Small-Noise Limit.- Cavity QED II: Quantum Fluctuations.- Quantum Trajectories I: Background and Interpretation.- Quantum Trajectories II: The Degenerate Parametric Oscillator.- Quantum Trajectories III: More Examples.

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Book SynopsisDas bewährte Standardlehrbuch in umfassend überarbeiteter und ergänzter 7. Auflage mit zahlreichen neu gestalteten Abbildungen, neuen Kapiteln zur supersymmetrischen Quantenmechanik und Theorie des Messprozesses sowie über 100 Aufgaben. Neben den Grundlagen und vielen Anwendungen erörtert der Autor neue Aspekte der Quantentheorie und ihrer experimentellen Überprüfung. Die explizite Ausführung aller Zwischenrechnungen hilft Studierenden, Quantenmechanik schneller und leichter zu verstehen. Die optimale Vorbereitung auf "Quantenmechanik für Fortgeschrittene (QM II)" desselben Autors. Im Anhang: mathematische Hilfsmittel und ergänzende Formeln.Table of ContentsHistorische und experimentelle Grundlagen.- Wellenfunktion und Schrödinger-Gleichung.- Eindimensionale Probleme.- Unschärferelation.- Der Drehimpuls.- Zentralpotential I.- Bewegung im elektromagnetischen Feld.- Operatoren, Matrizen, Zustandsvektoren.- Spin.- Addition von Drehimpulsen.- Näherungsmethoden für stationäre Zustände.- Relativistische Korrekturen.- Atome mit mehreren Elektronen.- Zeeman-Effekt und Stark-Effekt.- Moleküle.- Zeitabhängige Phänomene.- Zentralpotential II.- Streutheorie.- Supersymmetrische Quantentheorie.- Zustand und Meßprozeß in der Quantenmechanik.

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Book SynopsisThe Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers.Trade ReviewFrom the reviews: "There is, as the author of this book points out, a shortage of books of problems on quantum field theory. This one is based on exercises set to undergraduate and graduate students of the University of Belgrade. There are 64 pages of problems and the solutions occupy a further 171 pages. There is a bibliography and an index. … The book would serve well to accompany an introductory course on QFT." (Lewis H. Ryder, Mathematical Reviews, Issue 2007 c) "The book provides the reader with about 200 problems on different topics in quantum field theory … . The material covered and the level of exposition make the book typically appropriate for graduate and undergraduate students in physics. It is actually one of the first problem books in quantum field theory, and can be very useful students both following a course and studying on their own." (Bassano Vacchini, Zentralblatt MATH, Vol. 1102 (4), 2007)Table of ContentsProblems.- Lorentz and Poincaré symmetries.- The Klein-Gordon equation.- The ?-matrices.- The Dirac equation.- Classical field theory and symmetries.- Green functions.- Canonical quantization of the scalar field.- Canonical quantization of the Dirac field.- Canonical quantization of the electromagnetic field.- Processes in the lowest order of perturbation theory.- Renormalization and regularization.- Solutions.- Lorentz and Poincaré symmetries.- The Klein-Gordon equation.- The ?-matrices.- The Dirac equation.- Classical fields and symmetries.- Green functions.- Canonical quantization of the scalar field.- Canonical quantization of the Dirac field.- Canonical quantization of the electromagnetic field.- Processes in the lowest order of the perturbation theory.- Renormalization and regularization.

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Book SynopsisThis edition differs from the second chiefly in the addition of about 100 pages devoted to the quantum (or geometric, or Berry) phase, a subject that did not exist when this book was written. The changes in the remainder of the book consist of corrections of a small number of misprints. While it may seem that adding two chapters on the quantum phase is overemphasizing a currently fashionable subject, they actually complete the development of quantum theory as given in this book. We start with simple models, synthesizing them into complicated "molecules." With the new chap­ ters. we end with complicated "molecules," dividing them into simpler parts. This process of dividing a complex system into parts quite naturally gives rise to a gauge theory, of which the geometric phase is a manifestation - with consequences not only in theory, but observable in experiments. For this rea­ son, the geometric phase is not a mere fashion, but a discovery that will retain its importance forever and must be discussed in textbooks on quantum mechanics. to acknowledge help and advice from Mark Loewe with the I would like writing and also of the new part of the book. In addition, I would like to express my gratitude to J. Anandan, M. Berry, and c.A. Mead, who have read parts or all of the new material and have provided valuable advice.Table of ContentsI Mathematical Preliminaries.- II Foundations of Quantum Mechanics—The Harmonic Oscillator.- III Energy Spectra of Some Molecules.- IV Complete Systems of Commuting Observables.- V Addition of Angular Momenta—The Wigner-Eckart Theorem.- VI Hydrogen Atom—The Quantum-Mechanical Kepler Problem.- VII Alkali Atoms and the Schrödinger Equation of One-Electron Atoms.- VIII Perturbation Theory.- IX Electron Spin.- X Indistinguishable Particles.- XI Two-Electron Systems—The Helium Atom.- XII Time Evolution.- XIII Some Fundamental Properties of Quantum Mechanics.- XIV Transitions in Quantum Physical Systems—Cross Section.- XV Formal Scattering Theory and Other Theoretical Considerations.- XVI Elastic and Inelastic Scattering for Spherically Symmetric Interactions.- XVII Free and Exact Radial Wave Functions.- XVIII Resonance Phenomena.- XIX Time Reversal.- XX Resonances in Multichannel Systems.- XXI The Decay of Unstable Physical Systems.- XXII Quantal Phase Factors and Their Consequences.- XXIII A Quantum Physical System in a Quantum Environment—The Gauge Theory of Molecular Physics.- Epilogue.

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Book SynopsisCharacteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.Table of ContentsNonrelativistic Many-Particle Systems.- Second Quantization.- Spin-1/2 Fermions.- Bosons.- Correlation Functions, Scattering, and Response.- Relativistic Wave Equations.- Relativistic Wave Equations and their Derivation.- Lorentz Transformations and Covariance of the Dirac Equation.- Orbital Angular Momentum and Spin.- The Coulomb Potential.- The Foldy–Wouthuysen Transformation and Relativistic Corrections.- Physical Interpretation of the Solutions to the Dirac Equation.- Symmetries and Further Properties of the Dirac Equation.- Relativistic Fields.- Quantization of Relativistic Fields.- Free Fields.- Quantization of the Radiation Field.- Interacting Fields, Quantum Electrodynamics.

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Book SynopsisMagnetism is one of the oldest and most fundamental problems of Solid State Physics although not being fully understood up to now. On the other hand it is one of the hottest topics of current research. Practically all branches of modern technological developments are based on ferromagnetism, especially what concerns information technology. The book, written in a tutorial style, starts from the fundamental features of atomic magnetism, discusses the essentially single-particle problems of dia- and paramagnetism, in order to provide the basis for the exclusively interesting collective magnetism (ferro, ferri, antiferro). Several types of exchange interactions, which take care under certain preconditions for a collective ordering of localized or itinerant permanent magnetic moments, are worked out. Under which conditions these exchange interactions are able to provoke a collective moment ordering for finite temperatures is investigated within a series of theoretical models, each of them considered for a very special class of magnetic materials. The book is written in a tutorial style appropriate for those who want to learn magnetism and eventually to do research work in this field. Numerous exercises with full solutions for testing own attempts will help to a deep understanding of the main aspects of collective ferromagnetism.Table of ContentsBasic Facts.- Atomic Magnetism.- Diamagnetism.- Paramagnetism.- Exchange Interaction.- Ising Model.- Heisenberg Model.- Hubbard Model.

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Book Synopsis"Scientists other than quantum physicists often fail to comprehend the enormity of the conceptual change wrought by quantum theory in our basic conception of the nature of matter," writes Henry Stapp. Stapp is a leading quantum physicist who has given particularly careful thought to the implications of the theory that lies at the heart of modern physics. In this book, which contains several of his key papers as well as new material, he focuses on the problem of consciousness and explains how quantum mechanics allows causally effective conscious thought to be combined in a natural way with the physical brain made of neurons and atoms. The book is divided into four sections. The first consists of an extended introduction. Key foundational and somewhat more technical papers are included in the second part, together with a clear exposition of the "orthodox" interpretation of quantum mechanics. The third part addresses, in a non-technical fashion, the implications of the theory for some of the most profound questions that mankind has contemplated: How does the world come to be just what it is and not something else? How should humans view themselves in a quantum universe? What will be the impact on society of the revised scientific image of the nature of man? The final part contains a mathematical appendix for the specialist and a glossary of important terms and ideas for the interested layman. This third edition has been significantly expanded with two new chapters covering the author's most recent work.Trade ReviewFrom the reviews of the second edition: "The author develops new chapters on many findings of recent research on the mind-body problem as well as their extrapolation to new and difficult technical and social areas. The book is highly recommended to physicists, mathematicians, social scientists, and intelligent general readers." (Albert A. Mullin, Zentralblatt MATH, Vol. 1087, 2006)Table of Contents…and then a Miracle Occurs.- A Quantum Theory of Consciousness.- Theory.- The Copenhagen Interpretation.- Mind, Matter, and Quantum Mechanics.- A Quantum Theory of the Mind–Brain Interface.- Implications.- Mind, Matter, and Pauli.- Choice and Meaning in the Quantum Universe.- Future Achievements to Be Gained through Science.- A Quantum Conception of Man.- Quantum Theory and the Place of Mind in Nature.- New Developments and Future Visions.- Neuroscience, Atomic Physics, and the Human Person.- Societal Ramifications of the New Scientific Conception of Human Beings.- Physicalism Versus Quantum Mechanics.- A Model of the Quantum–Classical and Mind–Brain Connections, and the Role of the Quantum Zeno Effect in the Physical Implementation of Conscious Intent.- Appendices.- A Mathematical Mode.

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Book SynopsisSeeks answers to these questions using the underlying assumption that consciousness can be understood using the intellectual potential of modern physics and other sciences. There are a number of theories of consciousness, some based on classical physics while others require the use of quantum concepts. The latter ones have drawn criticism from the parts of the scientific establishment while simultaneously claiming that classical approaches are doomed to failure. The contributing authors presents a spectrum of opinions from both sides of this on-going scientific debate, allowing readers to decide for themselves which of the approaches are most likely to succeed.Trade ReviewFrom the reviews:“The intention of the book was clearly to present many different views of the consciousness problem, and as such it succeeds extremely well. … If you are interested in consciousness and its interaction with the physical and biological worlds, this is an excellent book that I recommend highly.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, March, 2014)Table of ContentsThe Path Ahead.- Consciousness and Quantum Physics: Empirical Research on the Subjective Reduction of the Statevector.- Microtubules in the Cerebral Cortex: Role in Memory and Consciousness.- Towards Experimental Tests of Quantum Effects in Cytoskeletal Proteins.- Physicalism, Chaos and Reductionism.- Consciousness, Neurobiology and Quantum Mechanics: The Case for a Connection.- Life, Catalysis and Excitable Media: A Dynamic Systems Approach to Metabolism and Cognition.- The Dendritic Cytoskeleton as a Computational Device: An Hypothesis.- Recurrent Quantum Neural Network and its Applications.- Microtubules as a Quantum Hopfield Network.- Consciousness and Quantum Brain Dynamics.- The CEMI Field Theory: Seven Clues to the Nature of Consciousness.- Quantum Cosmology and the Hard Problem of the Conscious Brain.- Consciousness and Logic in a Quantum-Computing Universe.

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Book SynopsisThis accessible and easy-to-follow book offers a new approach to consciousness. The author’s eclectic style combines new physics-based insights with those of analytical philosophy, phenomenology, cognitive science and neuroscience. He proposes a view in which the mechanistic framework of classical physics and neuroscience is complemented by a more holistic underlying framework in which conscious experience finds its place more naturally.Trade ReviewFrom the reviews: "This is an excellent addition to Springer’s (equally excellent) Frontiers Collection. … I can highly recommend it to philosophers (of mind), philosophers of various sciences, physicists, (especially those working in foundation of physics), and anyone interested in the contemporary debate on consciousness. It would also provide a good way to become acquainted with the more difficult of Bohn’s later ideas. The book assumes no prior knowledge of quantum mechanics." (Dean Rickles, Mathematical Reviews, Issue, 2007 g)Table of ContentsThe Architecture of Matter.- The Architecture of Consciousness.- Active Information.- Time Consciousness.- Movement, Causation, and Consciousness.

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Book SynopsisThis concise treatment embraces, in four parts, all the main aspects of theoretical physics. Recent topics such as holography and quantum cryptography are included. The book summarizes what a graduate student, physicist working in industry, or a physics teacher should master during his or her degree course. It will also be useful for deepening one’s insight and it adds new dimensions to understanding of these elemental concepts.Trade ReviewFrom the reviews: "A comprehensive work covering the material that graduate students in physics typically would study in preparing for doctoral candidacy examinations. … This book would be very useful for self-study by motivated students, or for preparation for candidacy exams. … Practicing physicists may find that the brief, accessible treatments of many topics will earn this book a place on a convenient bookshelf. Summing Up: Recommended. Upper-division undergraduates through professionals." (M. C. Ogilvie, CHOICE, Vol. 45 (7), 2008) "The book, written by two … ‘working physicists’, contains what the authors regard as being ‘basic knowledge’ in the standard courses of theoretical physics (yet) held at German Universities. … is primarily intended to cover the ‘Basic Theoretical Physics’ in a single and handy volume. … Hence, the book should be considered as being a kind of ‘compendium’ of … formulas used in theoretical physics where the formulas are filled in between with some remarks." (Jürgen Tolksdorf, Zentralblatt MATH, Vol. 1134 (12), 2008)Table of ContentsFrom the contents: Part I: Mechanics and Aspects of Relativity.- Space and Time.- Force and Mass.- Basic tasks of Mechanics for one-dimensional motions.-The damped and driven harmonic oscillator.- The three fundamental conservation laws.- Motion in central force fields.- The Rutherford scattering cross section.- Lagrange formalism I : The Lagrangian and the Hamiltonian.- Relativity I: Einstein's principle of the shortest proper time and Hamilton's principle of least-action momentum.- Coupled small oscillations.- Rigid bodies.- Remarks on non-integrable systems.- Lagrange formalism II: Constraints.- Accelerated reference frames.- Relativity II: E=mc².- Part II: Electrodynamics and aspects of optics.- Opening: Literature, internet, contents, purpose.- Introduction: units and (mathematical) prelimaries.- Electrostatics and magnetostatics.- Magnetic field of steady electric currents.- The general Maxwell equations I: Faraday's 'law of induction.- Maxwell's displacement current.- The general Maxwell equations II: Electromagnetic waves.- Applications of the electrodynamics in the field of optics.- Conclusion.- Part III: Quantum mechanics.- Introductory remarks.- References and internet.- On the history of quantum mechanics.- Quantum mechanics: Foundations.- One-dimensional problems.- The harmonic oscillator in the wave mechanics.- The hydrogen atom in the wave mechanics.- Abstract quantum mechanics (algebraic methods).- Spin momentum and Pauli's principle (the spin-statistics theorem).- Spin-orbit interaction.- The minimisation principle of Ritz.- Schrödinger's perturbation theory for the statics.- Time-dependent perturbations.- Magnetism as an essentially quantum-mechanical phenomenon.- Cooper pairs.- On the interpretation of quantum mechanics.- Conclusion: Repetition and summary on the history of quantum mechanics.- Looking back and looking forward.- Appendix: On cryptography and quantum cryptography.- Part IV: Thermodynamics and Statistical Physics.- Introductionand overview.- Phenomenological thermodynamics: Temperature and heat.- The fundamental theorems I and II.- Phase transitions, van der Waals theory and related problems.- Kinetic gas theory.- Statistical Physics.- From quantum statistics to the classical statistical physics.- Deepening of the fundamental theorem II.- Shannon's information entropy.- The set of canonical ensembles in the phenomenological thermodynamics.- The relation of Clausius and Clapeyron.- Generation of low and ultralow temperatures, and the fundamental theorem III.- General statistical physics (formal completion): The statistical operator and the trace formalism.- Ideal Bose and Fermi gases.- Applications I.- Applications II.- Conclusion

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Book SynopsisA unique legacy, these lecture notes of Schwinger’s course held at the University of California at Los Angeles were carefully edited by his former collaborator Berthold-Georg Englert and constitute both a self-contained textbook on quantum mechanics and an indispensable source of reference on this fundamental subject by one of the foremost thinkers of twentieth century physics.Trade ReviewFrom the reviews: "Quantum Mechanics: Symbolism of Atomic Measurements is not just another textbook on quantum mechanics. Rather, it contains truly novel elements of both content and style. In particular, Schwinger begins his treatment not with de Broglie waves or the Schrödinger equation but rather with the measurement process. His idea is to derive, or at least make plausible, the formalism of state vectors, bras and kets, by reference to quantum measurements such as the Stern-Gerlach experiment. This [...] is simply the basis of a new way of teaching quantum mechanics. This opening chapter should be of interest to all scholars of quantum theory and might form a new topic of research for philosophers of quantum mechanics." (Contemporary Physics, 44/2, 2003) "There are dozen of excellent textbooks on the market. But this one really is different." (T. Kibble, The Times Higher Education Supplement, 2001) "The material covered is superficially similar to that of a typical graduate quantum mechanics course [...] However, each chapter has beautiful and unusual treatments of familiar topics. [...] This book would make an outstanding supplement and reference for a graduate quantum mechanics course. Theoretical physicists will delight in this wonderful book, which should be available in the library system of any institution with a research or graduate program in physics. Graduate students through professionals." (CHOICE, Dec. 2001) "The book is a tour-de-force. Once the groundwork is laid, he goes into subjects with the mathematical virtuosity for which he was famous – not advanced mathematics, but the incredible use of simple mathematics. … there are gems throughout the book. … it is a wonderful book for a professor to own, like Feyman’s lectures, because there is so much to learn from it. … The book was lovingly edited from some UCLA lecture notes, by Berthold-Georg Englert, a longtime student and assistant of Schwinger’s … ." (Daniel Greenberger, American Journal of Physics, Vol 71 (9), 2003) "Editor Englert has performed a service for physicists everywhere by making available this book, which is based on Schwinger’s unpublished UCLA lecture notes. … each chapter has beautiful and unusual treatments of familiar topics. … There are excellent problems at the end of each chapter. This book would make an outstanding supplement and reference for a graduate quantum mechanics course. Theoretical physicists will delight in this wonderful book, which should be available in the library system of any institution with a research or graduate program … ." (M. C. Ogilvie, CHOICE, December, 2001) "The book commences with an absorbing prologue in which Schwinger talks us through the development of quantum mechanic and quantum field theory in an easy conversational style. … The book is packed with exercises for the reader to attempt. … Anyone who works religiously through these exercises will acquire a thoroughly adequate command of quantum mechanics." (W. Cox, Mathematical Reviews, Issue 2002 h) "Quantum mechanics: Symbolism of Atomic Measurements is not just another textbook on quantum mechanics. Rather, it contains truly novel elements of both content and style. … This opening chapter should be of interest to all scholars of quantum theory and might form a new topic of research for philosophers of quantum mechanics. Throughout the text, new material is presented at a breathless pace. All the usual elements of the subject are there, but Schwinger’s presentation reveals surprises in even the most familiar of these." (S. M. Barnett, Contemporary Physics, Vol. 44 (2), 2003) "In the beginning, the editor has added an important material in the form of a prologue … . This is one of the best treatments of the philosophy of quantum mechanics, which I have come across. … One of the major features of the book is the incorporation of a large number of problems … . the contents of the problems are well integrated in the text and have become part of it. This has caused a rich and tight structure of the logical arguments." (S. S. Bhattacharyya, Indian Journal of Physics, Vol. 76B (3), 2002) "This unique textbook is based upon the lecture notes that Julian Schwinger wrote up for the students of the quantum mechanics course … . this book would probably make an ideal quantum mechanics reference … . There are a large number of problems included at the end of each chapter, which comprise an excellent resource for any lecturer … . this textbook is a unique resource, which provides an insight into the thoughts and deliberations of one of this century’s giants of quantum mechanics." (P. C. Dastoor, The Physicist, Vol. 38 (5), 2001) "There are dozens of excellent textbooks on the market. But this one really is different. … there is a carefully argued historical and philosophical prologue that sets the scene, centred on the two key features of quantum physics – atomicity and its probabilistic character; this alone would make the book worthwhile. The emphasis on discrete variables is a very modern approach… . To a theoretical physicist, this book is a delight and a wonderful resource. … This is a book I shall treasure." (Tom Kibble, Times Higher Education Supplement, September, 2001)Table of ContentsPrologue.- A. Fall Quarter: Quantum Kinematics.- 1 Measurement Algebra.- 2 Continuous q, p Degree of Freedom.- 3 Angular Momentum.- 4 Galilean Invariance.- B. Winter Quarter: Quantum Dynamics.- 5 Quantum Action Principle.- 6 Elementary Applications.- 7 Harmonic Oscillators.- 8 Hydrogenic Atoms.- C. Spring Quarter: Interacting Particles.- 9 Two-Particle Coulomb Problem.- 10 Identical Particles.- 11 Many-Electron Atoms.- 12 Electromagnetic Radiation.

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Book Synopsis"Quantum Theory of Magnetism" is the only book that deals with the phenomenon of magnetism from the point of view of "linear response". That is, how does a magnetic material respond when excited by a magnetic field? That field may be uniform, or spatially varying, static or time dependent. Previous editions have dealt primarily with the magnetic response. This edition incorporates the resistive response of magnetic materials as well. It also includes problems to test the reader's (or student's) comprehension. The rationale for a book on magnetism is as valid today as it was when the first two editions of Quantum Theory of Magnetism were published. Magnetic phenomena continue to be discovered with deep scientific implications and novel applications. Since the Second Edition, for example, Giant Magneto Resistance (GMR) was discovered and the new field of "spintronics" is currently expanding. Not only do these phenomena rely on the concepts presented in this book, but magnetic properties are often an important clue to our understanding of new materials (e.g., high-temperature superconductors). Their magnetic properties, studied by susceptibility measurements, nuclear magnetic resonance, neutron scattering, etc. have provided insight to the superconductivity state.This updated edition offers revised emphasis on some material as a result of recent developments and includes new material, such as an entire chapter on thin film magnetic multilayers. Researchers and students once again have access to an up-to-date classic reference on magnetism, the key characteristic of many modern materials.Table of ContentsThe Magnetic Susceptibility.- The Magnetic Hamiltonian.- The Static Susceptibility of Noninteracting Systems.- The Static Susceptibility of Interacting Systems: Local Moments.- The Static Susceptibility of Interacting Systems: Metals.- The Dynamic Susceptibility of Weakly Interacting Systems: Local Moments.- The Dynamic Susceptibility of Weakly Interacting Systems: Metals.- The Dynamic Susceptibility of Strongly Interacting Systems.- Thin Film Systems.- Neutron Scattering.

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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 SynopsisThe classical mechanistic idea of nature that prevailed in science during the eighteenth and nineteenth centuries was an essentially mindless conception: the physically described aspects of nature were asserted to be completely determined by prior physically described aspects alone, with our conscious experiences entering only passively. During the twentieth century the classical concepts were found to be inadequate. In the new theory, quantum mechanics, our conscious experiences enter into the dynamics in specified ways not fixed by the physically described aspects alone. Consequences of this radical change in our understanding of the connection between mind and brain are described. This second edition contains two new chapters investigating the role of quantum phenomena in the problem of free will and in the placebo effect.Trade ReviewFrom the reviews:"Stapp's book is a bold and original attack on the problem of consciousness and free will based on the openings provided by the laws of quantum mechanics. This is a serious and interesting attack on a truly fundamental problem."Tony Leggett, Physics Nobel Laureate (2003)"In his new book, Stapp insists that the "causal closure of the physical", in particular concerning quantum theory, is an untenable myth. He elaborates on ideas of Bohr, von Neumann, Heisenberg and, from a philosophical point of view, James and Whitehead to sketch a complex picture in which the physical and the mental are emphatically conditioned by each other. Stapp's wide-ranging proposal offers stimulating reading, a strong sense of conceptual coherence and intuitive appeal, and empirical predictions that deserve to be refined and tested."Harald AtmanspacherA highly readable book of genuine wisdom by one of the foremost minds for our generation. The paradoxical enigma of consciousness and matter has been tackled by virtually every modern philosopher and many scientists as well. Unfortunately most philosophers have grounded their thinking in century old physics while most scientists fail to understand the nuances of philosophical thought. Here a foremost quantum physicist speaks to us not only from a profound understanding of physics, but with a sophistication about consciousness and philosophy of mind that few short of William James and Alfred North Whitehead have sustained. The result is a radical rethinking of issues as fundamental and vital as free will, ethics, the mind-body problem, and the dimensions of human nature itself.Allan Combs, CIISEditor of Mind in Time: The Dynamics of Thought, Reality, and Consciousness"Stapp has devoted some of the 17 chapters of the book to arguments for the need to use quantum theory in neuroscience, explanations of his theory, and discussions of the consistency of his theory with the ideas of William James and Alfred Whitehead. … This book has been written in a style that is clearly meant to make the book widely accessible… . Henry Stapp’s theory is worthy of attention, and this book provides a good introduction to it." (Imants Barušs, Journal of Scientific Exploration, Vol. 21 (3), 2008)"In this book Stapp tackles the ‘mind-body problem’ (or rather the ‘mind-matter’ problem). … The book is certainly an enjoyable read (I read it in one sitting) … . Philosophers of mind should read this book because it frequently discusses elements of the contemporary debate in novel ways, and may trigger some entirely new debates. It will also provide a nice entrée into quantum theory … . Those interested in the philosophical foundations of physics will no doubt find it enjoyable … ." (Dean Rickles, Mathematical Reviews, Issue 2008 g)From the reviews of the second edition:“The aim of this book is to explain to educated lay readers various twentieth century developments in science from the viewpoint of both a quantum physicist and a philosopher, and to touch upon the social consequences of some (alleged) misrepresentations of contemporary scientific knowledge that continue to hold sway. … the author’s visionary ideas, original proposals and explanations, his speculations, and his wide spectrum of knowledge as displayed in the present book, made this collection of essays a highly captivating, inspiring and educating read.” (Werner Kleinert, Zentralblatt MATH, Vol. 1243, 2012) Table of ContentsPreface to the First Edition.- Preface to the Second edition.- Science Consciousness and Human Values.- Human Knowledge as the Foundation Science.- Actions, Knowledge, and Information.- Nerve Terminals and the Need to Use Quantum Theory.- Templates for Action.- The Physical Effectiveness of Conscious Will and the Quantum Zeno Effect.- Support from Contemporary Psychology.- Application to Neuropsychology.- Roger Penrose’s Theory and Quantum Decoherence.- Non-Orthodox Versions of Quantum Theory.- The Basis Problem in Many-Worlds Theories.- Despised Dualism.- Whiteheadian Quantum Ontology.- Interview.- Consciousness and the Anthropic Questions.- Impact of Quantum Mechanics on Human Values.- Placebo: A Clinically Significant Quantum Effect.- Science-Based Discussion of Free Will.- A.Gazzaniga’s The Ethical Brain.- B.Von Neumann: Knowledge, Information, and Entropy.- C. Wigner’s Friend and Consdciousness in Quantum Theory.- D. Orthodox Interpretation and the Mind-Brain Connection.- E. Locality in Physics.- F. Einstein Locality and Spooky Action at a Distance.- G. Nonlocality in the Quantum World.- References.- Index.

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Book SynopsisIn this book, a modern unified theory of dispersion forces on atoms and bodies is presented which covers a broad range of different aspects and scenarios. Macroscopic quantum electrodynamics is applied within the context of dispersion forces. In contrast to the normal-mode quantum electrodynamics traditionally used to study dispersion forces, the new approach allows to consider realistic material properties including absorption and is flexible enough to be applied to a broad range of geometries. Thus general properties of dispersion forces like their non-additivity and the relation between microscopic and macroscopic dispersion forces are discussed. It is demonstrated how the general results can be used to obtain dispersion forces on atoms in the presence of bodies of various shapes and materials. In particular, nontrivial magnetic properties of the bodies, bodies of irregular shapes, the role of material absorption, and dynamical forces for excited atoms are discussed. This volume 2 deals especially with quantum electrodynamics, dispersion forces, Casimir forces, asymptotic power laws, quantum friction and universal scaling laws. The book gives both the specialist and those new to the field a thorough overview over recent results in the context of dispersion forces. It provides a toolbox for studying dispersion forces in various contexts.Table of ContentsIntroduction.- Approximating Casimir–Polder potentials.- Common properties of dispersion forces.- Casimir–Polder forces on excited atoms: static theory.- Casimir–Polder forces on excited atoms: dynamical approach.- Casimir–Polder forces in cavity quantum electrodynamics.- Thermal Casimir–Polder forces.- Casimir–Polder forces on moving atoms.

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Book Synopsis"...Einer der Vorteile dieses Lehrbuchs beruht auf der Zusammenarbeit zwischen Experimentalphysiker und Theoretiker als Autoren, wobei beide international bekannte und geschätzte Wissenschaftler sind. Dadurch kommen beide Aspekte der Quantenphysik, die entscheidenden Experimente und das mathematische Gerüst, zur Geltung..." (Physikalische Blätter)Table of ContentsListe der wichtigsten verwendeten Symbole.- 1. Einleitung.- 2. Masse und Größ.- 3. Die Isotopie.- 4. Kernstruktur des Atoms.- 5. Das Photon.- 6. Das Elektron.- 7. Einige Grundeigenschaften der Materiewellen.- 8. Das Bohrsehe Modell des Wasserstoff-Atoms.- 9. Das mathematische Gerüst der Quantentheorie.- 10. Quantenmechanik des Wasserstoff-Atoms.- 11. Aufhebung der l-Entartung in den Spektren der Alkali-Atome.- 12. Bahn- und Spin-Magnetismus, Feinstruktur.- 13. Atome im Magnetfeld, Experimente und deren halbklassische Beschreibung.- 14. Atome im Magnetfeld, quantenmechanische Behandlung.- 15. Atome im elektrischen Feld.- 16. Allgemeine Gesetzmäßigkeiten optischer Übergänge.- 17. Mehrelektronenatome.- 18. Röntgenspektren, innere Schale.- 19. Aufbau des Pseriodensystems, Grundzustände der Elemente.- 20. Kernspin, Hyperfeinstruktur.- 21. Der Laser.- 22. Moderne Methoden der optischen Spektroskopie.- 23. Fortschritte der Quantenphysik: Tieferes Verständnis undneue Anwendungen.- 24. Grundlagen der Quantentheorie der chemischen Bindung.- Mathematischer Anhang.- A. Die Diracsche Deltafunktion und die Normierung der Wellenfunktion eines kräftefreien Teilchens im unbegrenzten Raum.- B. Einige Eigenschaften des Harniltonoperators, seiner Eigenfunktionen und Eigenwerte.- C. Herleitung der Heisenbergschen Unschärferelation.- Lösungen zu den Aufgaben.- Literaturverzeichnis zur Ergänzung und Vertiefung.- Fundamental-Konstanten der Atomphysik (Vordere Einbandinnenseite).- Energie-Umrechnungstabelle (Hintere Einbandinnenseite).

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Book SynopsisWerner Heisenberg is one of the greatest scientists of our century. His work extends over a period of fifty years, ranging from turbulence theory, the establishment of quantum mechanics, its fundamental applications in atomic and solid state physics, to the theory of cosmic ray phenomena and of elementary particles. He recognized early the epistemological significance of the new discoveries. He was able to place the radical changes in the foundation of physics of this century in the historical context of natural philosophy. His thoughts on language as the medium to grasp scientific truth, artistic truth, religious truth, truth in general, reached many auditors and readers, scientists as well as non-scientists. In the 75 years of his life the political and social structure of his home country, of Europe and the world over underwent drastic changes. He grew up in Imperial Germany, made his great contributions to quantum mechanics during the period of the Weimar Republic and was engaged in nuclear physics when the potentates of the Third Reich tried to discredit relativity and quantum theory as "degenerate" science; in World War II he participated in the German effort to develop a nuclear reactor. After the war, he devoted himself mainly to the physics of elementary particles. In addition, he acted in many official capacities: for the promotion of research, the reconstruction of science in the Federal Republic of Germany, and the advancement of international collabora- tion.Table of ContentsBiographical Data — Werner Heisenberg (1901–1976).- Biographical Data — Werner Heisenberg (1901–1976).- Group 1: Hydrodynamic Stability and Turbulence (1922–1948).- Annotation.- Editorial Note.- 1.1 Die absoluten Dimensionen der Kármánschen Wirbelbewegung/ Absolute Dimensions of Kármán’s Vortex Motion.- 1.2 Über Stabilität und Turbulenz von Flüssigkeitsströmen/On the Stability and Turbulence of Fluid Flows.- 1.3 Zur statistischen Theorie der Turbulenz/ On the Statistical Theory of Turbulence.- 1.4 Die Gestalt der Spiralnebel/ The Form of Spiral Nebulae.- 1.5 On the Theory of Statistical and Isotropic Turbulence.- 1.6 Bemerkungen zum Turbulenzproblem/ Remarks on the Problem of Turbulence.- Group 2: On Atomic and Molecular Structure (1922–1925).- Annotation.- 2.1 Zur Quantentheorie der Linienstruktur und der anomalen Zeemaneffekte / Quantum Theory of Line Structure and of the Anomalous Zeeman Effects.- 2.2 Eine Bemerkung über relativistische Röntgendubletts und Linienschärfe / A Remark on Relativistic X-Ray Doublets and Line Width.- 2.3 Die Intensität der Mehrfachlinien und ihrer Zeemankomponenten/The Intensity of Line Multiplets and Their Zeeman Components.- 2.4 Über Phasenbeziehungen bei den Bohrschen Modellen von Atomen und Molekeln / Phase Relations in Bohr’s Models of Atoms and Molecules.- 2.5 Die Elektronenbahnen im angeregten Heliumatom/The Electron Orbits in the Excited Helium Atom.- 2.6 Zur Quantentheorie der Molekeln / On the Quantum Theory of Molecules.- 2.7 Über den Einfluß der Deformierbarkeit der Ionen auf optische und chemische Konstanten. I/Influence of Deformability of Ions on Optical and Chemical Constants I.- 2.8 Termstruktur der Multipletts höherer Stufe/Term Structure of the Multiplets of Higher Order.- 2.9 Bemerkung zu einer Arbeit von F. v. Wi?niewski: „Zur Theorie des Heliums“/Remark on a Paper of.- 2.10 Über den Einfluß der Deformierbarkeit der Ionen auf optische und chemische Konstanten. II. Stabilität und Bildungswärme dreiatomiger Molekeln und Ionen/Influence of Deformability of Ions on Optical and Chemical Constants II.- 2.11 Über eine Abanderung der formalen Regeln der Quantentheorie beim Problem der anomalen Zeemaneffekte/Alternation of the Formal Rules of Quantum Theory for the Problem of Anomalous Zeeman Effects.- 2.12 Zur Quantentheorie der Multiplettstruktur und der anomalen Zeemaneffekte/Quantum Theory of Multiplet Structure and of the Anomalous Zeeman Effects.- Group 3: Quantum Mechanics (1925–1927).- Annotation.- 3.1 Über eine Anwendung des Korrespondenzprinzips auf die Frage nach der Polarisation des Fluoreszenzlichtes/Application of the Correspondence Principle to the Polarization Problem of Fluorescence Light.- 3.2 Über die Streuung von Strahlung durch Atome/On the Dispersion of Radiation by Atoms.- 3.3 Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen/Quantum Theoretical Re-Interpretation of Kinematic and Mechanical Relations.- 3.4 Zur Quantenmechanik. II/On Quantum Mechanics II.- 3.5 Mehrkörperproblem und Resonanz in der Quantenmechanik/Many-Body Problem and Resonance in Quantum Mechanics.- 3.6 Schwankungserscheinungen und Quantenmechanik/Fluctuation Phenomena and Quantum Mechanics.- 3.7 Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik/The Perceptible Content of the Quantum Theoretical Kinematics and Mechanics.- Group 4: Applications of Quantum Mechanics (1926–1933).- Annotation.- 4.1 Anwendung der Quantenmechanik auf das Problem der anomalen Zeemaneffekte/ Application of Quantum Mechanics to Anomalous Zeeman Effects.- 4.2 Über die Spektra von Atomsystemen mit zwei Elektronen/On the Spectra of Two-Electron Atomic Systems.- 4.3 Mehrkörperprobleme und Resonanz in der Quantenmechanik. II / Many-Body Problems and Resonance in Quantum Mechanics II.- 4.4 Zur Theorie des Ferromagnetismus/On the Theory of Ferromagnetism.- 4.5 Zur Theorie der Magnetostriktion und der Magnetisierungskurve/On the Theory of Magnetostriction and of the Magnetization Curve.- 4.6 Notiz zur Arbeit des Herrn N. Tunazima: Zum Ferromagnetismus/Note on a Paper of N. Tunazima: On Ferromagnetism.- 4.7 Zum Paulischen Ausschließungsprinzip/On Pauli’s Exclusion Principle..- 4.8 Über die inkohärente Streuung von Röntgenstrahlen/On Incoherent X-Ray Diffraction.- Bibliographical Citation List.

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Book SynopsisThis essential creates a lively and vivid understanding of the processes in quantum computers. It explores the quantum phenomena of entanglement and superposition and how they can be used for computing. Coding of information, explanation of simple algorithms, and possible applications are shown. A glossary at the end of the essentials explains the most important terms.Table of ContentsIntroduction.- Quantum Revolution.- Basic building blocks of quantum computing.- Quantum computing today and tomorrow.- Summary.- Glossary.

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Book SynopsisDieses Buch beschäftigt sich mit dem neuen Begriff der „Quantenökonomie“. Diese verbindet Erkenntnisse aus der Quantenphysik und der Bewusstseinsforschung mit ökonomischen Prozessen bzw. Rahmenbedingungen und versucht mit dem Quantenbewusstseinsmodell einen neuen Realitätsbegriff zu schaffen. Dieser Realitätsbegriff generiert neue Ideen und Denkanstöße für einen methodologisch anderen Ökonomiebegriff mit dem Ziel, das Potenzial für sinnvollere und nachhaltigere Entscheidungen zu erweitern.

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Book SynopsisThis well-known introductory textbook gives a uniform presentation of nuclear and particle physics from an experimental point of view. The first part, Analysis, is devoted to disentangling the substructure of matter. This part shows that experiments designed to uncover the substructures of nuclei and nucleons have a similar conceptual basis, and lead to the present picture of all matter being constructed from a small number of elementary building blocks and a small number of fundamental interactions. The second part, Synthesis, shows how the elementary particles may be combined to build hadrons and nuclei. The fundamental interactions, which are responsible for the forces in all systems, become less and less evident in increasingly complex systems. Such systems are in fact dominated by many-body phenomena. A section on neutrino oscillations and one on nuclear matter at high temperatures bridge the field of "nuclear and particle physics" and "modem astrophysics and cosmology.The seventh revised and extended edition includes new material, in particular the experimental verification of the Higgs particle at the LHC, recent results in neutrino physics, the violation of CP-symmetry in the decay of neutral B-mesons, the experimental investigations of the nucleon's spin structure and outstanding results of the HERA experiments in deep-inelastic electron- and positron-proton scattering. The concise text is based on lectures held at the University of Heidelberg and includes numerous exercises with worked answers. It has been translated into several languages and has become a standard reference for advanced undergraduate and graduate courses.Trade Review“The book ‘Particles and Nuclei’ represents a collection of fundamental topics in nuclear and particle physics and is divided in two parts. … This book presents itself as an easy going lecture for students taking a course in nuclear and particle physics but it can be … used as a handbook by specialists in the field.” (Serban Misicu, zbMATH 1331.81003, 2016)Table of ContentsHors d'oeuvre.- Analysis: The Building Blocks of Matter.- Global Properties of Nuclei.- Nuclear Stability.- Scattering.- Geometric Shapes of Nuclei.- Elastic Scattering off Nucleons.- Deep Inelastic Scattering.- Quarks, Gluons, and the Strong Interaction.- Particle Production in e+e− Collisions.- Phenomenology of the Weak Interaction.- Neutrino Oscillations and Neutrino Mass.- Exchange Bosons of the Weak Interaction and the Higgs Boson.- The Standard Model.- Synthesis: Composite Systems.- Quarkonia.- Mesons.- The Baryons.- The Nuclear Force.- The Structure of Nuclei.- Collective Nuclear Excitations.- Nuclear Thermodynamics.- Many-Body Systems in the Strong Interaction.- Appendix.- Solutions to the Problems.

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Book SynopsisThis graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption.Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation.With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained.Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information.To aid in understanding, each chapter is accompanied by a set of exercises and solutions.Table of ContentsInvitation to Quantum Information Theory.- History of Quantum Information Theory.- The Structure of this Text.- Mathematical Formulation of Quantum Systems.- Information Quantities and Parameter Estimation in Classical Systems.- Quantum Hypothesis Testing and Discrimination of Quantum States.- Classical-Quantum Channel Coding (Message Transmission).- State Evolution and Trace-Preserving Completely Positive Maps.- Quantum Information Geometry and Quantum Estimation.- Quantum Measurements and State Reduction.- Entanglement and Locality Restrictions.- Analysis of Quantum Communication Protocols.

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Book Synopsis

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