本书自问世以来，一直是量子多体理论领域中最权威的著作之一。本书全面系统地讲解了格林函数方法在固态理论物理中的实际应用，给出了其在处理电子气、极化子、电子输运、光响应、超导和超流等实际问题时的具体过程，内容涵盖了固态多体理论中的很多高等论题，例如严格可解模型和强关联电子系统等。此次影印的是本书的第三版。作者对旧版中的若干章节进行了修订，介绍了许多新的研究成果，此外作者还新增了几个章节，例如不同的平均自由程，Hubbard模型、库仑阻塞和量子霍尔效应等。本书附有大量的习题和丰富的参考文献，是高年级本科生、研究生和科研人员学习固态多体理论和格林函数方法优秀的参考书。

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.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

3.6.1.Thermodynamic Potential

3.6.2.Green's Functions

3.7.Real-Time Green's Functions

3.7.1.Wigner Distribution Function

 3.8.Kubo Formula for Electrical Conductivity

3.8.1.Transverse Fields，Zero Temperature

3.8.2.Nonzero Temperatures

3.8.3.Zero Frequency

3.8.4.Photon Self-Energy

 3.9.Other Kubo Formulas

3.9.1.Pauli Paramagnetic Susceptibility

3.9.2 Thermal Currents and Onsager Relations

3.9.3.Correlation Functions

 Problems

4.Exactly Solvable Models

 4.1.Potential Scattering

4.1.1.Reaction Matrix

4.1.2.T Matrix

4.1.3.Friedel's Theorem

4.1.4.Impurity Scattering

4.1.5 Ground State Energy

 4.2.Localized State in the Continuum

 4.3.Independent Boson Models

4.3.1.Solution by Canonical Transformation

4.3.2.Feynman Disentangling of Operators

4.3.3.Einstein Model

4.3.4 Optical Absorption and Emission

4.3.5.Sudden Switching

4.3.6.Linked Cluster Expansion

 4.4.Bethe Lattice

4.4.1.Electron Green's Function

4.4.2.Ising Model

 4.5.Tomonaga Model

4.5.1.Tomonaga Model

4.5.2.Spin Waves

4.5.3.Luttinger Model

4.5.4.Single-Particle Properties

4.5.5.Interacting System of Spinless Fermions

 4.6.Polaritons

4.6.1.Semiclassical Discussion

4.6.2.Phonon-Photon Coupling

4.6.3.Exciton-Photon Coupling

 Problems

5.Homogeneous Electron Gas

 5.1.Exchange and COrrelatiOn

5.1.1.Kinetic Energy

5.1.2.Hartree

5.1.3.Exchange

5.1.4.Seitz's Theorem

5.1.5.∑(2a)

5.1.6.∑(2b)

5.1.7.∑(2c)

5.1.8.High.Density Limit

5.1.9.Pair Distribution Function

 5.2.Wigner Lattice

 5.3.Metallic Hydrogen

 5.4.Linear Screening

 5.5.Model Dielectric Functions

5.5.1.Thomas-Fermi

5.5.2.Lindhard,or RPA

5.5.3.Hubbard

5.5.4.Singwi-Sjб1ander

5.5.5.Local Field Corrections

5.5.6.Vertex Corrections

 5.6.Properties ofthe Electron Gas

5.6.1.Pair Distribution Function

5.6.2.Screening Charge

5.6.3.Correlation Energies

5.6.4.Compressibility

5.6.5.Pauli Paramagnetic Susceptibility

 5.7.Sum Rules

 5.8.One-Electron Properties

5.8.1.Renormalization Constant ZF

5.8.2.Effective Mass

5.8.3.Mean.Free-Path

 Problems

6.Strong Correlations

 6.1.Kondo Model

6.1.1.High-Temperature Scattering

6.1.2.Low.Temperature State

6.1.3.Kondo"remperature

6.1.4. Kondo Resonance

 6.2.Single.Site Anderson Model

6.2.1.No Hybridization

6.2.2.With Hybridization

6.2.3.Self-Energy of Electrons

 6.3.Hubbard Model

6.3.1.Spin and Charge Separation

6.3.2. Exchange Graphs

 6.4.Hubbard Model：Magnetic Phases

6.4.1.Ferromagnetism

6.4.2.Antiferromagnetism

6.4.3.An Example

6.4.4.Local Field Corrections

 Problems

7.Electron-Phonon Interaction

 7.1.FrShlich Hamiltonian

7.1.1.Brillouin-Wigner Perturbation Theory

7.1.2.Rayteigh-Schr6dinger Perturbation Theory

7.1.3.Strong Coupling Theory

7.1.4.Linked Cluster Theory

 7.2.Small Polaron Theory

7.2.1.Large Polarons

7.2.2.Small Polarons

7.2.3.Diagonal Transitions

7.2.4.Nondiagonal Transitions

7.2.5.Kubo Formula

 7.3.HeaVilv Doped Semiconductors

7.3.1.Screened Interaction

7.3.2.Experimental Verifications

7.3.3.Electron Self-Energies

 7.4. Metals

7.4.1.Phonons in Metals

7.4.2.Electron Self-Energies

 Problems

8.dc Conductivities

 8.1.Electron Scattering by Impurities

8.1.1.Boltzmann Equation

8.1.2.Kubo Formula：Approximate Solution

8.1.3.Ward Identities

 8.2.Mobility of Fr6hlich Polarons

 8.3.Electron-Phonon Relaxation Times

8.3.1.Metals

8.3.2.Semiconductors

8.3.3.Temperature Relaxation

 8.4.Electron-Phonon Interactions in Metals

8.4.1.Force-Force Correlation Function

8.4.2.Kubo Formula

8.4.3.Mass Enhancement

8.4.4.Thermoelectric Power

 8.5.Quantum Boltzrnann Equation

8.5.1.Derivation of the QBE

8.5.2.Gradient Expansion

8.5.3.Electron Scattering by Impurities

 8.6.Quantum Dot Tunneling

8.6.1.Electron Tunneling

8.6.2.Quantum Dots

8.613.Rate Equations

8.6.4.Quantum Conductance

 Problems

9.Optical Properties of Solids

 9.1.Nearly Free.Electron Systems

9.1.1.General Properties

9.1.2.Force-Force Correlation Functions

9.1.3.Frбhlich Polarons

9.1.4.Interband Transitions

9.1.5.Phonons

 9.2.Wannier Excitons

9.2.1.The Model

9.2.2. Solution by Green's Functions

9.2.3.Core-Level Spectra

 9.3.X-ray Spectra in Metals

9.3.1.Physical Model

9.3.2.Edge Singularities

9.3.3.Orthogonality Catastrophe

9.3.4.MND Theory

9.3.5.XPS Spectra

 Problems

10.Superconductivity

 10.1.Cooper Instability

10.1.1.BCS Theory

 10.2.Superconducting Tunneling

10.2.1.Normal-Superconductor

10.2.2.Two Superconductors

10.2.3.Josephson Tunneling

10.2.4.Infrared Absorption

 10.3.Strong Coupling Theory

 10.4.Transition Temperature

 Problems

11.Superfluids

 11.1.Liquid 4He

11.1.1.Hartree and Exchange

11.1.2.Bogoliubov Theory of 4He

11.1.3.Off-Diagonal Long-Range Order

11.1.4.Correlated Basis Functions

11.1.5.Experiments on nk

11.1.6.Bijl-Feynman Theory

11.1.7.Improved Excitation Spectra

11.1.8.Superfluiditv

 11.2.Liquid 3He

11.2.1.Fermi Liquid Theory

11.2.2.Experiments and Microscopic Theories

11.2.3.Interaction Between Quasiparticles：Excitations

11.2.4.Quasiparticle Transport

11.2.5.Superfluid 3He

 11.3.Quantum Hall Efiects

11.3.1.Landau Levels

11.3.2.Classical Hall Effect

11.3.3.Quantum Hall Effect

 11.3.3.1.Fixed Density

 11.3.3.2.Fixed Chemical Potenfial

 11.3.3.3.Impurity Dominated

11.3.4.Laughlin WaVe Function

11.3.5.Collective Excitations

 11.3.5.1.Magnetorotons

 11.3.5.2.Quasiholes

Problems

References

Author Index

Subject lndex