Quantum Mechanics, Volume 3: Fermions, Bosons, Photons, Correlations, and Entanglement

This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.

Table of Contents:
CREATION AND ANNIHILATION OPERATORS FOR IDENTICAL PARTICLES General Formalism One-Particle Symmetric Operators Two-Particle Operators Complements FIELD OPERATOR Definition of the Field Operator Symmetric Operators Time Evolution of the Field Operator (Heisenberg Point of View) Relation to Field Quantization Complements PAIRED STATES OF IDENTICAL PARTICLES Creation and Annihilation Operators of a Pair of Particles Building Paired States Properties of the Kets Characterizing the Paired States Correlations Between Particles, Pair Wave Function Paired States as a Quasi-Particle Vacuum; Bogolubov-Valatin Transformations REVIEW OF CLASSICAL ELECTRODYNAMICS Classical Electrodynamics Describing the Transverse Field as an Ensemble of Harmonic Oscillators Complements QUANTIZATION OF ELECTROMAGNETIC RADIATION Quantization of the Radiation in the Coulomb Gauge Photons, Elementary Excitations of the Free Quantum ?eld Description of the Interactions Complements ABSORPTION, EMISSION AND SCATTERING OF PHOTONS BY ATOMS A Basic Tool: the Evolution Operator Photon Absorption Between Two Discrete Atomic Levels Stimulated and Spontaneous Emissions Role of Correlation Functions in One-Photon Processes Photon Scattering by an Atom Complements QUANTUM ENTANGLEMENT, MEASUREMENTS, BELL'S INEQUALITIES Introducing Entanglement, Goals of This Chapter Entangled States of Two Spin-1/2 Systems Entanglement Between More General Systems Ideal Measurement and Entangled States "Which Path" Experiment: Can One Determine the Path Followed by the Photon in Young's Double Slit Entanglement, Non-Locality, Bell's Theorem Complements APPENDIX: FEYNMAN PATH INTEGRAL Quantum Propagator of a Particle Interpretation in Terms of Classical Histories Discussion. A New Quantization Rule Operators APPENDIX: LAGRANGE MULTIPLIERS Function of Two Variables Function of N Variables APPENDIX: BRIEF REVIEW OF QUANTUM STATISTICAL MECHANICS Statistical Ensembles Intensive or Extensive Physical Quantities APPENDIX: WIGNER TRANSFORM Delta Function of an Operator Wigner Distribution of the Density Operator (Spinless Particle) Wigner Transform of an Operator Generalizations Discussion: Wigner Distribution and Quantum Effects

About the Author :
Claude Cohen-Tannoudji is a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë is a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.