href="#ulink_ed967a3d-e525-5f36-a2a3-1859cbd732ed">COMPLEMENTS OF CHAPTER XVII, READER’S GUIDE
Complement AXVII Pair field operator for identical particles
1. Pair creation and annihilation operators
2. Average values in a paired state
3. Commutation relations of field operators
Complement BXVII Average energy in a paired state
1. Using states that are not eigenstates of the total particle number
2. Hamiltonian
3. Spin 1/2 fermions in a singlet state
4. Spinless bosons
Complement CXVII Fermion pairing, BCS theory
1. Optimization of the energy
2. Distribution functions, correlations
3. Physical discussion
4. Excited states
Complement DXVII Cooper pairs
1. Cooper model
2. State vector and Hamiltonian
3. Solution of the eigenvalue equation
4. Calculation of the binding energy for a simple case
Complement EXVII Condensed repulsive bosons
1. Variational state, energy
2. Optimization
3. Properties of the ground state
4. Bogolubov operator method
6 Chapter: XVIII REVIEW OF CLASSICAL ELECTRODYNAMICS A. Classical electrodynamics B. Describing the transverse field as an ensemble of harmonic oscillators COMPLEMENTS OF CHAPTER XVIII, READER’S GUIDE Complement AXVIII Lagrangian formulation of electrodynamics 1. Lagrangian with several types of variables 2. Application to the free radiation field 3. Lagrangian of the global system field + interacting particles
7 Chapter: XIX QUANTIZATION OF ELECTROMAGNETIC RADIATION A. Quantization of the radiation in the Coulomb gauge B. Photons, elementary excitations of the free quantum field C. Description of the interactions COMPLEMENTS OF CHAPTER XIX, READER’S GUIDE Complement AXIX Momentum exchange between atoms and photons 1. Recoil of a free atom absorbing or emitting a photon 2. Applications of the radiation pressure force: slowing and cooling atoms 3. Blocking recoil through spatial confinement 4. Recoil suppression in certain multi-photon processes Complement BXIX Angular momentum of radiation 1. Quantum average value of angular momentum for a spin 1 particle 2. Angular momentum of free classical radiation as a function of normal variables2047 3. Discussion Complement CXIX Angular momentum exchange between atoms and photons 1. Transferring spin angular momentum to internal atomic variables 2. Optical methods 3. Transferring orbital angular momentum to external atomic variables
8 Chapter: XX ABSORPTION, EMISSION AND SCATTERING OF PHOTONS BY ATOMS A. A basic tool: the evolution operator B. Photon absorption between two discrete atomic levels C. Stimulated and spontaneous emissions D. Role of correlation functions in one-photon processes E. Photon scattering by an atom COMPLEMENTS OF CHAPTER XX, READER’S GUIDE Complement AXX A multiphoton process: two-photon absorption 1. Monochromatic radiation 2. Non-monochromatic radiation 3. Discussion Complement BXX Photoionization 1. Brief review of the photoelectric effect 2. Computation of photoionization rates 3. Is a quantum treatment of radiation necessary to describe photoionization? . 4. Two-photon photoionization 5. Tunnel ionization
