1. Introductory Material. - 1. 1. Harmonic Oscillators and Phonons. - 1. 2. Second Quantization for Particles. - 1. 3. Electron Phonon Interactions. - 1. 4. Spin Hamiltonians. - 1. 5. Photons. - 1. 6. Pair Distribution Function. - Problems. - 2. Green's Functions at Zero Temperature. - 2. 1. Interaction Representation. - 2. 2. S Matrix. - 2. 3. Green's Functions. - 2. 4. Wick's Theorem. - 2. 5. Feynman Diagrams. - 2. 6. Vacuum Polarization Graphs. - 2. 7. Dyson's Equation. - 2. 8. Rules for Constructing Diagrams. - 2. 9. Time-Loop S Matrix. - 2. 10. Photon Green's Functions. - Problems. - 3. Green's Functions at Finite Temperatures. - 3. 1. Introduction. - 3. 2. Matsubara Green's Functions. - 3. 3. Retarded and Advanced Green's Functions. - 3. 4. Dyson's Equation. - 3. 5. Frequency Summations. - 3. 6. Linked Cluster Expansions. - 3. 7. Real Time Green's Functions. - Wigner Distribution Function. - 3. 8. Kubo Formula for Electrical Conductivity. - 3. 9. Other Kubo Formulas. - A. Pauli Paramagnetic Susceptibility. - B. Thermal Currents and Onsager Relations. - C. Correlation Functions. - Problems. - 4. Exactly Solvable Models. - 4. 1. Potential Scattering. - 4. 2. Localized State in the Continuum. - 4. 3. Independent Boson Models. - 4. 4. Tomonaga Model. - 4. 5. Polaritons. - Problems. - 5. Electron Gas. - 5. 1. Exchange and Correlation. - 5. 2. Wigner Lattice and Metallic Hydrogen. - Metallic Hydrogen. - 5. 3. Cohesive Energy of Metals. - 5. 4. Linear Screening. - 5. 5. Model Dielectric Functions. - 5. 6. Properties of the Electron Gas. - 5. 7. Sum Rules. - 5. 8. One-Electron Properties. - Problems. - 6. Electron-Phonon Interaction. - 6. 1 Fröhlich Hamiltonian. - 6. 2 Small Polaron Theory. - 6. 3 Heavily Doped Semiconductors. - 6. 4 Metals. - Problems. - 7. dc Conductivities. - 7. 1. Electron Scattering by Impurities. - 7. 2. Mobility of FröhlichPolarons. - 7. 3. Electron-Phonon Interactions in Metals. - 7. 4. Quantum Boltzmann Equation. - Problems. - 8. Optical Properties of Solids. - 8. 1. Nearly Free-Electron System. - 8. 2. Wannier Excitons. - 8. 3. X-Ray Spectra in Metals. - Problems. - 9. Superconductivity. - 9. 1. Cooper Instability. - 9. 2. BCS Theory. - 9. 3. Electron Tunneling. - 9. 4. Infrared Absorption. - 9. 5. Acoustic Attenuation. - 9. 6. Excitons in Superconductors. - 9. 7. Strong Coupling Theory. - Problems. - 10. Liquid Helium. - 10. 1. Pairing Theory. - 10. 2. 4He: Ground State Properties. - 10. 3. 4He: Excitation Spectrum. - 10. 4. 3He: Normal Liquid. - 10. 5. Superfluid 3He. - Problems. - 11. Spin Fluctuations. - 11. 1. Kondo Model. - 11. 2. Anderson Model. - Problems. - References. - Author Index. Language: English