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800 Pages
Revised
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`This is a worthy newcomer and will make an excellent teaching text.'
Physics Bulletin
`The book should serve as a valuable contribution to the library of students and researchers in solid state and theoretical physics.'
Philosophical Magazine
About the Second Edition:
`Since its first edition, this book has become one of the most popular textbooks in quantum many-body theory, thus guaranteeing the interest of the scientific community in this second edition.'
Mathematical Reviews
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 |
Table of Contents provided by Syndetics. All Rights Reserved. |
ISBN: 9780306463389
ISBN-10: 0306463385
Series: Physics of Solids and Liquids
Published: 1st October 2000
Format: Hardcover
Language: English
Number of Pages: 800
Audience: General Adult
Publisher: Springer Nature B.V.
Country of Publication: GB
Edition Number: 3
Edition Type: Revised
Dimensions (cm): 26.1 x 18.5 x 5.1
Weight (kg): 1.53
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