Introductory Material / 1.: |
Harmonic Oscillators and Phonons / 1.1.: |
Second Quantization for Particles / 1.2.: |
Electron-Phonon Interactions / 1.3.: |
Interaction Hamiltonian / 1.3.1.: |
Localized Electron / 1.3.2.: |
Deformation Potential / 1.3.3.: |
Piezoelectric Interaction / 1.3.4.: |
Polar Coupling / 1.3.5.: |
Spin Hamiltonians / 1.4.: |
Homogeneous Spin Systems / 1.4.1.: |
Impurity Spin Models / 1.4.2.: |
Photons / 1.5.: |
Gauges / 1.5.1.: |
Lagrangian / 1.5.2.: |
Hamiltonian / 1.5.3.: |
Pair Distribution Function / 1.6.: |
Problems |
Green's Functions at Zero Temperature / 2.: |
Interaction Representation / 2.1.: |
Schrodinger / 2.1.1.: |
Heisenberg / 2.1.2.: |
Interaction / 2.1.3.: |
S Matrix / 2.2.: |
Green's Functions / 2.3.: |
Wick's Theorem / 2.4.: |
Feynman Diagrams / 2.5.: |
Vacuum Polarization Graphs / 2.6.: |
Dyson's Equation / 2.7.: |
Rules for Constructing Diagrams / 2.8.: |
Time-Loop S Matrix / 2.9.: |
Six Green's Functions / 2.9.1.: |
Photon Green's Functions / 2.9.2.: |
Nonzero Temperatures / 3.: |
Introduction / 3.1.: |
Matsubara Green's Functions / 3.2.: |
Retarded and Advanced Green's Functions / 3.3.: |
Frequency Summations / 3.4.: |
Linked Cluster Expansions / 3.6.: |
Thermodynamic Potential / 3.6.1.: |
Real-Time Green's Functions / 3.6.2.: |
Wigner Distribution Function / 3.7.1.: |
Kubo Formula for Electrical Conductivity / 3.8.: |
Transverse Fields, Zero Temperature / 3.8.1.: |
Zero Frequency / 3.8.2.: |
Photon Self-Energy / 3.8.4.: |
Other Kubo Formulas / 3.9.: |
Pauli Paramagnetic Susceptibility / 3.9.1.: |
Thermal Currents and Onsager Relations / 3.9.2.: |
Correlation Functions / 3.9.3.: |
Exactly Solvable Models / 4.: |
Potential Scattering / 4.1.: |
Reaction Matrix / 4.1.1.: |
T Matrix / 4.1.2.: |
Friedel's Theorem / 4.1.3.: |
Impurity Scattering / 4.1.4.: |
Ground State Energy / 4.1.5.: |
Localized State in the Continuum / 4.2.: |
Independent Boson Models / 4.3.: |
Solution by Canonical Transformation / 4.3.1.: |
Feynman Disentangling of Operators / 4.3.2.: |
Einstein Model / 4.3.3.: |
Optical Absorption and Emission / 4.3.4.: |
Sudden Switching / 4.3.5.: |
Linked Cluster Expansion / 4.3.6.: |
Bethe Lattice / 4.4.: |
Electron Green's Function / 4.4.1.: |
Ising Model / 4.4.2.: |
Tomonaga Model / 4.5.: |
Spin Waves / 4.5.1.: |
Luttinger Model / 4.5.3.: |
Single-Particle Properties / 4.5.4.: |
Interacting System of Spinless Fermions / 4.5.5.: |
Polaritons / 4.6.: |
Semiclassical Discussion / 4.6.1.: |
Phonon-Photon Coupling / 4.6.2.: |
Exciton-Photon Coupling / 4.6.3.: |
Homogeneous Electron Gas / 5.: |
Exchange and Correlation / 5.1.: |
Kinetic Energy / 5.1.1.: |
Hartree / 5.1.2.: |
Exchange / 5.1.3.: |
Seitz's Theorem / 5.1.4.: |
[Sigma superscript (2a)] / 5.1.5.: |
[Sigma superscript (2b)] / 5.1.6.: |
[Sigma superscript (2c)] / 5.1.7.: |
High-Density Limit / 5.1.8.: |
Wigner Lattice / 5.1.9.: |
Metallic Hydrogen / 5.3.: |
Linear Screening / 5.4.: |
Model Dielectric Functions / 5.5.: |
Thomas-Fermi / 5.5.1.: |
Lindhard, or RPA / 5.5.2.: |
Hubbard / 5.5.3.: |
Singwi-Sjolander / 5.5.4.: |
Local Field Corrections / 5.5.5.: |
Vertex Corrections / 5.5.6.: |
Properties of the Electron Gas / 5.6.: |
Screening Charge / 5.6.1.: |
Correlation Energies / 5.6.3.: |
Compressibility / 5.6.4.: |
Sum Rules / 5.6.5.: |
One-Electron Properties / 5.8.: |
Renormalization Constant Z[subscript F] / 5.8.1.: |
Effective Mass / 5.8.2.: |
Mean-Free-Path / 5.8.3.: |
Strong Correlations / 6.: |
Kondo Model / 6.1.: |
High-Temperature Scattering / 6.1.1.: |
Low-Temperature State / 6.1.2.: |
Kondo Temperature / 6.1.3.: |
Kondo Resonance / 6.1.4.: |
Single-Site Anderson Model / 6.2.: |
No Hybridization / 6.2.1.: |
With Hybridization / 6.2.2.: |
Self-Energy of Electrons / 6.2.3.: |
Hubbard Model / 6.3.: |
Spin and Charge Separation / 6.3.1.: |
Exchange Graphs / 6.3.2.: |
Hubbard Model: Magnetic Phases / 6.4.: |
Ferromagnetism / 6.4.1.: |
Antiferromagnetism / 6.4.2.: |
An Example / 6.4.3.: |
Electron-Phonon Interaction / 6.4.4.: |
Frohlich Hamiltonian / 7.1.: |
Brillouin-Wigner Perturbation Theory / 7.1.1.: |
Rayleigh-Schrodinger Perturbation Theory / 7.1.2.: |
Strong Coupling Theory / 7.1.3.: |
Linked Cluster Theory / 7.1.4.: |
Small Polaron Theory / 7.2.: |
Large Polarons / 7.2.1.: |
Small Polarons / 7.2.2.: |
Diagonal Transitions / 7.2.3.: |
Nondiagonal Transitions / 7.2.4.: |
Kubo Formula / 7.2.5.: |
Heavily Doped Semiconductors / 7.3.: |
Screened Interaction / 7.3.1.: |
Experimental Verifications / 7.3.2.: |
Electron Self-Energies / 7.3.3.: |
Metals / 7.4.: |
Phonons in Metals / 7.4.1.: |
dc Conductivities / 7.4.2.: |
Electron Scattering by Impurities / 8.1.: |
Boltzmann Equation / 8.1.1.: |
Kubo Formula: Approximate Solution / 8.1.2.: |
Ward Identities / 8.1.3.: |
Mobility of Frohlich Polarons / 8.2.: |
Electron-Phonon Relaxation Times / 8.3.: |
Semiconductors / 8.3.1.: |
Temperature Relaxation / 8.3.3.: |
Electron-Phonon Interactions in Metals / 8.4.: |
Force-Force Correlation Function / 8.4.1.: |
Mass Enhancement / 8.4.2.: |
Thermoelectric Power / 8.4.4.: |
Quantum Boltzmann Equation / 8.5.: |
Derivation of the QBE / 8.5.1.: |
Gradient Expansion / 8.5.2.: |
Quantum Dot Tunneling / 8.5.3.: |
Electron Tunneling / 8.6.1.: |
Quantum Dots / 8.6.2.: |
Rate Equations / 8.6.3.: |
Quantum Conductance / 8.6.4.: |
Optical Properties of Solids / 9.: |
Nearly Free-Electron Systems / 9.1.: |
General Properties / 9.1.1.: |
Force-Force Correlation Functions / 9.1.2.: |
Frohlich Polarons / 9.1.3.: |
Interband Transitions / 9.1.4.: |
Phonons / 9.1.5.: |
Wannier Excitons / 9.2.: |
The Model / 9.2.1.: |
Solution by Green's Functions / 9.2.2.: |
Core-Level Spectra / 9.2.3.: |
X-ray Spectra in Metals / 9.3.: |
Physical Model / 9.3.1.: |
Edge Singularities / 9.3.2.: |
Orthogonality Catastrophe / 9.3.3.: |
MND Theory / 9.3.4.: |
XPS Spectra / 9.3.5.: |
Superconductivity / 10.: |
Cooper Instability / 10.1.: |
BCS Theory / 10.1.1.: |
Superconducting Tunneling / 10.2.: |
Normal-Superconductor / 10.2.1.: |
Two Superconductors / 10.2.2.: |
Josephson Tunneling / 10.2.3.: |
Infrared Absorption / 10.2.4.: |
Transition Temperature / 10.3.: |
Superfluids / 11.: |
Liquid [superscript 4]He / 11.1.: |
Hartree and Exchange / 11.1.1.: |
Bogoliubov Theory of [superscript 4]He / 11.1.2.: |
Off-Diagonal Long-Range Order / 11.1.3.: |
Correlated Basis Functions / 11.1.4.: |
Experiments on n[subscript k] / 11.1.5.: |
Bijl-Feynman Theory / 11.1.6.: |
Improved Excitation Spectra / 11.1.7.: |
Superfluidity / 11.1.8.: |
Liquid [superscript 3]He / 11.2.: |
Fermi Liquid Theory / 11.2.1.: |
Experiments and Microscopic Theories / 11.2.2.: |
Interaction Between Quasiparticles: Excitations / 11.2.3.: |
Quasiparticle Transport / 11.2.4.: |
Superfluid [superscript 3]He / 11.2.5.: |
Quantum Hall Effects / 11.3.: |
Landau Levels / 11.3.1.: |
Classical Hall Effect / 11.3.2.: |
Quantum Hall Effect / 11.3.3.: |
Fixed Density / 11.3.3.1.: |
Fixed Chemical Potential / 11.3.3.2.: |
Impurity Dominated / 11.3.3.3.: |
Laughlin Wave Function / 11.3.4.: |
Collective Excitations / 11.3.5.: |
Magnetorotons / 11.3.5.1.: |
Quasiholes / 11.3.5.2.: |
References |
Author Index |
Subject Index |
Introductory Material / 1.: |
Harmonic Oscillators and Phonons / 1.1.: |
Second Quantization for Particles / 1.2.: |