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

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

Authors
Publisher Wiley-VCH Verlag GmbH
Year 16/10/2019
Pages 784
Version hardback
Readership level Professional and scholarly
Language English
ISBN 9783527345557
Categories Chemistry
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701.40 PLN / €150.38 / £130.54
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Book description

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 Laloe

* 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 Superieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the College 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 Laloe was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Superieure 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.

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

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

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