Many-particle physics

Gerald D. Mahan

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • 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. 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. 3: Nonzero 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. 3.8. Kubo Formula for Electrical Conductivity. 3.9. Other Kubo Formulas. 4: Exactly Solvable Models. 4.1. Potential Scattering. 4.2. Localized State in the Continuum. 4.3. Independent Boson Models. 4.4. Bethe Lattice. 4.5. Tomonaga Model. 4.6. Polaritons. 5: Homogeneous Electron Gas. 5.1. Exchange and Correlation. 5.2. Wigner Lattice. 5.3. Metallic Hydrogen. 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. 6: Strong Correlations. 6.1. Kondo Model. 6.2. Single-Site Anderson Model. 6.3. Hubbard Model. 6.4. Hubbard Model: Magnetic Phases. 7: Electron-Phonon Interaction. 7.1. Frohlich Hamiltonian. 7.2. Small Polaron Theory. 7.3. Heavily Doped Semiconductors. 7.4. Metals. 8: dc Conductivities. 8.1. Electron Scattering by Impurities. 8.2. Mobility of Frolich Polarons. 8.3. Electron-Phonon Relaxation Times. 8.4. Electron-Phonon Interactions in Metals. 8.5. Quantum Boltzmann Equation. 8.6. Quantum Dot Tunneling. 9: Optical Properties of Solids. 9.1. Nearly Free-Electron Systems. 9.2. Wannier Excitons. 9.3. X-Ray Spectra in Metals. 10: Superconductivity. 10.1. Cooper Instability. 10.2. Superconducting Tunneling. 10.3. Strong Coupling Theory. 10.4. Transition Temperature. 11: Superfluids. 11.1. Liquid 4He. 11.2. Liquid 3He. 11.3. Quantum Hall Effects.

「Nielsen BookData」より

[目次]

  • 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. 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. 3: Nonzero 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. 3.8. Kubo Formula for Electrical Conductivity. 3.9. Other Kubo Formulas. 4: Exactly Solvable Models. 4.1. Potential Scattering. 4.2. Localized State in the Continuum. 4.3. Independent Boson Models. 4.4. Bethe Lattice. 4.5. Tomonaga Model. 4.6. Polaritons. 5: Homogeneous Electron Gas. 5.1. Exchange and Correlation. 5.2. Wigner Lattice. 5.3. Metallic Hydrogen. 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. 6: Strong Correlations. 6.1. Kondo Model. 6.2. Single-Site Anderson Model. 6.3. Hubbard Model. 6.4. Hubbard Model: Magnetic Phases. 7: Electron-Phonon Interaction. 7.1. Frohlich Hamiltonian. 7.2. Small Polaron Theory. 7.3. Heavily Doped Semiconductors. 7.4. Metals. 8: dc Conductivities. 8.1. Electron Scattering by Impurities. 8.2. Mobility of Frolich Polarons. 8.3. Electron-Phonon Relaxation Times. 8.4. Electron-Phonon Interactions in Metals. 8.5. Quantum Boltzmann Equation. 8.6. Quantum Dot Tunneling. 9: Optical Properties of Solids. 9.1. Nearly Free-Electron Systems. 9.2. Wannier Excitons. 9.3. X-Ray Spectra in Metals. 10: Superconductivity. 10.1. Cooper Instability. 10.2. Superconducting Tunneling. 10.3. Strong Coupling Theory. 10.4. Transition Temperature. 11: Superfluids. 11.1. Liquid 4He. 11.2. Liquid 3He. 11.3. Quantum Hall Effects.

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この本の情報

書名 Many-particle physics
著作者等 Mahan, Gerald D.
シリーズ名 Physics of solids and liquids
出版元 Kluwer Academic/Plenum
刊行年月 c2000
版表示 3rd ed
ページ数 xii, 785 p.
大きさ 26 cm
ISBN 0306463385
9781441933393
NCID BA49127779
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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