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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
