| Introductory Material | p. 1 |
| Harmonic Oscillators and Phonons | p. 1 |
| Second Quantization for Particles | p. 11 |
| Electron-Phonon Interactions | p. 26 |
| Interaction Hamiltonian | p. 27 |
| Localized Electron | p. 29 |
| Deformation Potential | p. 31 |
| Piezoelectric Interaction | p. 32 |
| Polar Coupling | p. 34 |
| Spin Hamiltonians | p. 36 |
| Homogeneous Spin Systems | p. 38 |
| Impurity Spin Models | p. 43 |
| Photons | p. 48 |
| Gauges | p. 49 |
| Lagrangian | p. 53 |
| Hamiltonian | p. 55 |
| Pair Distribution Function | p. 58 |
| Problems | p. 62 |
| Green's Functions at Zero Temperature | p. 65 |
| Interaction Representation | p. 66 |
| Schrodinger | p. 66 |
| Heisenberg | p. 66 |
| Interaction | p. 67 |
| S Matrix | p. 70 |
| Green's Functions | p. 71 |
| Wick's Theorem | p. 76 |
| Feynman Diagrams | p. 81 |
| Vacuum Polarization Graphs | p. 83 |
| Dyson's Equation | p. 86 |
| Rules for Constructing Diagrams | p. 90 |
| Time-Loop S Matrix | p. 95 |
| Six Green's Functions | p. 96 |
| Dyson's Equation | p. 99 |
| Photon Green's Functions | p. 102 |
| Problems | p. 106 |
| Nonzero Temperatures | p. 109 |
| Introduction | p. 109 |
| Matsubara Green's Functions | p. 112 |
| Retarded and Advanced Green's Functions | p. 118 |
| Dyson's Equation | p. 128 |
| Frequency Summations | p. 136 |
| Linked Cluster Expansions | p. 142 |
| Thermodynamic Potential | p. 142 |
| Green's Functions | p. 152 |
| Real-Time Green's Functions | p. 154 |
| Wigner Distribution Function | p. 157 |
| Kubo Formula for Electrical Conductivity | p. 160 |
| Transverse Fields, Zero Temperature | p. 163 |
| Nonzero Temperatures | p. 168 |
| Zero Frequency | p. 170 |
| Photon Self-Energy | p. 173 |
| Other Kubo Formulas | p. 174 |
| Pauli Paramagnetic Susceptibility | p. 174 |
| Thermal Currents and Onsager Relations | p. 177 |
| Correlation Functions | p. 181 |
| Problems | p. 183 |
| Exactly Solvable Models | p. 187 |
| Potential Scattering | p. 187 |
| Reaction Matrix | p. 189 |
| T Matrix | p. 192 |
| Friedel's Theorem | p. 195 |
| Impurity Scattering | p. 199 |
| Ground State Energy | p. 204 |
| Localized State in the Continuum | p. 207 |
| Independent Boson Models | p. 218 |
| Solution by Canonical Transformation | p. 218 |
| Feynman Disentangling of Operators | p. 221 |
| Einstein Model | p. 224 |
| Optical Absorption and Emission | p. 228 |
| Sudden Switching | p. 236 |
| Linked Cluster Expansion | p. 241 |
| Bethe Lattice | p. 247 |
| Electron Green's Function | p. 247 |
| Ising Model | p. 251 |
| Tomonaga Model | p. 256 |
| Tomonaga Model | p. 257 |
| Spin Waves | p. 262 |
| Luttinger Model | p. 264 |
| Single-Particle Properties | p. 267 |
| Interacting System of Spinless Fermions | p. 272 |
| Polaritons | p. 276 |
| Semiclassical Discussion | p. 276 |
| Phonon-Photon Coupling | p. 278 |
| Exciton-Photon Coupling | p. 282 |
| Problems | p. 291 |
| Homogeneous Electron Gas | p. 295 |
| Exchange and Correlation | p. 295 |
| Kinetic Energy | p. 297 |
| Hartree | p. 297 |
| Exchange | p. 297 |
| Seitz's Theorem | p. 301 |
| [Sigma superscript (2a)] | p. 303 |
| [Sigma superscript (2b)] | p. 304 |
| [Sigma superscript (2c)] | p. 305 |
| High-Density Limit | p. 306 |
| Pair Distribution Function | p. 308 |
| Wigner Lattice | p. 311 |
| Metallic Hydrogen | p. 315 |
| Linear Screening | p. 316 |
| Model Dielectric Functions | p. 323 |
| Thomas-Fermi | p. 323 |
| Lindhard, or RPA | p. 325 |
| Hubbard | p. 336 |
| Singwi-Sjolander | p. 338 |
| Local Field Corrections | p. 341 |
| Vertex Corrections | p. 343 |
| Properties of the Electron Gas | p. 346 |
| Pair Distribution Function | p. 346 |
| Screening Charge | p. 346 |
| Correlation Energies | p. 347 |
| Compressibility | p. 352 |
| Pauli Paramagnetic Susceptibility | p. 356 |
| Sum Rules | p. 358 |
| One-Electron Properties | p. 362 |
| Renormalization Constant Z[subscript F] | p. 365 |
| Effective Mass | p. 368 |
| Mean-Free-Path | p. 369 |
| Problems | p. 372 |
| Strong Correlations | p. 375 |
| Kondo Model | p. 375 |
| High-Temperature Scattering | p. 376 |
| Low-Temperature State | p. 383 |
| Kondo Temperature | p. 387 |
| Kondo Resonance | p. 387 |
| Single-Site Anderson Model | p. 389 |
| No Hybridization | p. 391 |
| With Hybridization | p. 395 |
| Self-Energy of Electrons | p. 396 |
| Hubbard Model | p. 403 |
| Spin and Charge Separation | p. 404 |
| Exchange Graphs | p. 409 |
| Hubbard Model: Magnetic Phases | p. 411 |
| Ferromagnetism | p. 413 |
| Antiferromagnetism | p. 416 |
| An Example | p. 422 |
| Local Field Corrections | p. 427 |
| Problems | p. 430 |
| Electron-Phonon Interaction | p. 433 |
| Frohlich Hamiltonian | p. 433 |
| Brillouin-Wigner Perturbation Theory | p. 434 |
| Rayleigh-Schrodinger Perturbation Theory | p. 438 |
| Strong Coupling Theory | p. 444 |
| Linked Cluster Theory | p. 448 |
| Small Polaron Theory | p. 454 |
| Large Polarons | p. 455 |
| Small Polarons | p. 456 |
| Diagonal Transitions | p. 458 |
| Nondiagonal Transitions | p. 459 |
| Kubo Formula | p. 463 |
| Heavily Doped Semiconductors | p. 467 |
| Screened Interaction | p. 468 |
| Experimental Verifications | p. 474 |
| Electron Self-Energies | p. 475 |
| Metals | p. 481 |
| Phonons in Metals | p. 482 |
| Electron Self-Energies | p. 487 |
| Problems | p. 495 |
| dc Conductivities | p. 499 |
| Electron Scattering by Impurities | p. 499 |
| Boltzmann Equation | p. 499 |
| Kubo Formula: Approximate Solution | p. 505 |
| Ward Identities | p. 514 |
| Mobility of Frohlich Polarons | p. 517 |
| Electron-Phonon Relaxation Times | p. 524 |
| Metals | p. 526 |
| Semiconductors | p. 527 |
| Temperature Relaxation | p. 531 |
| Electron-Phonon Interactions in Metals | p. 534 |
| Force-Force Correlation Function | p. 534 |
| Kubo Formula | p. 537 |
| Mass Enhancement | p. 545 |
| Thermoelectric Power | p. 545 |
| Quantum Boltzmann Equation | p. 549 |
| Derivation of the QBE | p. 550 |
| Gradient Expansion | p. 554 |
| Electron Scattering by Impurities | p. 557 |
| Quantum Dot Tunneling | p. 561 |
| Electron Tunneling | p. 561 |
| Quantum Dots | p. 567 |
| Rate Equations | p. 571 |
| Quantum Conductance | p. 575 |
| Problems | p. 576 |
| Optical Properties of Solids | p. 579 |
| Nearly Free-Electron Systems | p. 579 |
| General Properties | p. 579 |
| Force-Force Correlation Functions | p. 581 |
| Frohlich Polarons | p. 585 |
| Interband Transitions | p. 588 |
| Phonons | p. 590 |
| Wannier Excitons | p. 592 |
| The Model | p. 592 |
| Solution by Green's Functions | p. 596 |
| Core-Level Spectra | p. 600 |
| X-ray Spectra in Metals | p. 603 |
| Physical Model | p. 603 |
| Edge Singularities | p. 607 |
| Orthogonality Catastrophe | p. 612 |
| MND Theory | p. 621 |
| XPS Spectra | p. 624 |
| Problems | p. 626 |
| Superconductivity | p. 627 |
| Cooper Instability | p. 628 |
| BCS Theory | p. 635 |
| Superconducting Tunneling | p. 644 |
| Normal-Superconductor | p. 645 |
| Two Superconductors | p. 648 |
| Josephson Tunneling | p. 652 |
| Infrared Absorption | p. 660 |
| Strong Coupling Theory | p. 664 |
| Transition Temperature | p. 670 |
| Problems | p. 674 |
| Superfluids | p. 677 |
| Liquid [superscript 4]He | p. 677 |
| Hartree and Exchange | p. 679 |
| Bogoliubov Theory of [superscript 4]He | p. 682 |
| Off-Diagonal Long-Range Order | p. 686 |
| Correlated Basis Functions | p. 690 |
| Experiments on n[subscript k] | p. 697 |
| Bijl-Feynman Theory | p. 702 |
| Improved Excitation Spectra | p. 707 |
| Superfluidity | p. 710 |
| Liquid [superscript 3]He | p. 713 |
| Fermi Liquid Theory | p. 714 |
| Experiments and Microscopic Theories | p. 720 |
| Interaction Between Quasiparticles: Excitations | p. 723 |
| Quasiparticle Transport | p. 729 |
| Superfluid [superscript 3]He | p. 735 |
| Quantum Hall Effects | p. 742 |
| Landau Levels | p. 742 |
| Classical Hall Effect | p. 745 |
| Quantum Hall Effect | p. 747 |
| Fixed Density | p. 749 |
| Fixed Chemical Potential | p. 749 |
| Impurity Dominated | p. 750 |
| Laughlin Wave Function | p. 752 |
| Collective Excitations | p. 757 |
| Magnetorotons | p. 757 |
| Quasiholes | p. 760 |
| Problems | p. 761 |
| References | p. 765 |
| Author Index | p. 777 |
| Subject Index | p. 781 |
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