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Cover Art
PRINTED BOOKS
Author Mahan, Gerald D.

Title Many-particle physics / Gerald D. Mahan.

Published New York ; London : Kluwer Academic/Plenum Publishers, [2000]
©2000

Copies

Location Call No. Status
 UniM ERC  530.41 MAHA    AVAILABLE
Edition 3rd ed.
Physical description xii, 785 pages : illustrations ; 26 cm.
Series Physics of solids and liquids.
Physics of solids and liquids.
Notes Previous ed.: 1990.
Bibliography Includes bibliographical references and index.
Contents 1.1. Harmonic Oscillators and Phonons 1 -- 1.2. Second Quantization for Particles 11 -- 1.3. Electron-Phonon Interactions 26 -- 1.4. Spin Hamiltonians 36 -- 1.5. Photons 48 -- 1.6. Pair Distribution Function 58 -- 2. Green's Functions at Zero Temperature 65 -- 2.1. Interaction Representation 66 -- 2.2. S Matrix 70 -- 2.3. Green's Functions 71 -- 2.4. Wick's Theorem 76 -- 2.5. Feynman Diagrams 81 -- 2.6. Vacuum Polarization Graphs 83 -- 2.7. Dyson's Equation 86 -- 2.8. Rules for Constructing Diagrams 90 -- 2.9. Time-Loop S Matrix 95 -- 2.10. Photon Green's Functions 102 -- 3. Nonzero Temperatures 109 -- 3.2. Matsubara Green's Functions 112 -- 3.3. Retarded and Advanced Green's Functions 118 -- 3.4. Dyson's Equation 128 -- 3.5. Frequency Summations 136 -- 3.6. Linked Cluster Expansions 142 -- 3.7. Real-Time Green's Functions 154 -- 3.8. Kubo Formula for Electrical Conductivity 160 -- 3.9. Other Kubo Formulas 174 -- 4. Exactly Solvable Models 187 -- 4.1. Potential Scattering 187 -- 4.2. Localized State in the Continuum 207 -- 4.3. Independent Boson Models 218 -- 4.4. Bethe Lattice 247 -- 4.5. Tomonaga Model 256 -- 4.6. Polaritons 276 -- 5. Homogeneous Electron Gas 295 -- 5.1. Exchange and Correlation 295 -- 5.2. Wigner Lattice 311 -- 5.3. Metallic Hydrogen 315 -- 5.4. Linear Screening 316 -- 5.5. Model Dielectric Functions 323 -- 5.6. Properties of the Electron Gas 346 -- 5.7. Sum Rules 358 -- 5.8. One-Electron Properties 362 -- 6. Strong Correlations 375 -- 6.1. Kondo Model 375 -- 6.2. Single-Site Anderson Model 389 -- 6.3. Hubbard Model 403 -- 6.4. Hubbard Model: Magnetic Phases 411 -- 7. Electron-Phonon Interaction 433 -- 7.1. Frohlich Hamiltonian 433 -- 7.2. Small Polaron Theory 454 -- 7.3. Heavily Doped Semiconductors 467 -- 7.4. Metals 481 -- 8. dc Conductivities 499 -- 8.1. Electron Scattering by Impurities 499 -- 8.2. Mobility of Frohlich Polarons 517 -- 8.3. Electron-Phonon Relaxation Times 524 -- 8.4. Electron-Phonon Interactions in Metals 534 -- 8.5. Quantum Boltzmann Equation 549 -- 8.6. Quantum Dot Tunneling 561 -- 9. Optical Properties of Solids 579 -- 9.1. Nearly Free-Electron Systems 579 -- 9.2. Wannier Excitons 592 -- 9.3. X-ray Spectra in Metals 603 -- 10. Superconductivity 627 -- 10.1. Cooper Instability 628 -- 10.2. Superconducting Tunneling 644 -- 10.3. Strong Coupling Theory 664 -- 10.4. Transition Temperature 670 -- 11. Superfluids 677 -- 11.1. Liquid [superscript 4]He 677 -- 11.2. Liquid [superscript 3]He 713 -- 11.3. Quantum Hall Effects 742.
Summary This comprehensive textbook utilizes Green's functions and the equations derived from them to solve real physical problems in solid-state theoretical physics. Green's functions are used to describe processes in solids and quantum fluids and to address problems in areas such as electron gas, polarons, electron transport, optical response, superconductivity and superfluidity. The updated third edition features several new chapters on different mean-free paths, Hubbard model, Coulomb blockade, and the quantum Hall effect. New sections have been added, while original sections have been modified to include recent applications. This text is ideal for third- or fourth-year graduate students and includes numerous study problems and an extensive bibliography.
Subject Solid state physics.
Many-body problem.
Green's functions.
ISBN 0306463385 £93.00