福尔德编著的《分子和固体中的电子关联（英文版）》用独特的方法讲述分子和固体中的电子关联。分子和固体中的电子关联性为量子化学和固态物理学架起了一座桥梁，书中前半部分新概念的讲述为了很好的处理多体和关联效应，结合标准量子化学方法的映射技巧，格林函数方法和Monte-Carlo技巧；后半部分讲述了在分子、半导体、过渡金属、重费米体系和新高分子超导材料中的应用。目次：导论；独立电子逼近；密度函数理论；电子相关的量子化学方法；累积量，划分和映射；兴奋状态；有限温度技巧；原子和分子相关；半导体和绝缘体；同质金属系统；过渡金属；强关联电子；重费米体系；超导和高分子材料。

读者对象：物理专业的研究生，教师和材料科学相关的专业人士。

1.Introduction

2.The Independent-Electron Approximation

 2.1 Starting Hamiltonian

 2.2 Basis Functions and Basis Sets

 2.3 Self-Consistent Field Approximation

 2.4 Simplified SCF Calculational Schemes

2.4.1 Semi-empirical SCF Methods

2.4.2 Pseudopotentials

 2.5 Koopmans' Theorem

 2.6 Homogeneous Electron Gas

 2.7 Loal Exchange Potential - The X Method

 2.8 Shortcomings of the Independent-Electron Approximation

 2.9 Unrestricted SCF Approximation

3.Density Functional Theory

 3.1 Thomas-Fermi Method

 3.2 Hohenberg-Kohn-Sham Theory

 3.3 Local-Density Approximation

 3.4 Results for Atoms, Molecules, and Solids

 3.5 Extensions and Limitations

4.Quantum-Chemical Approach to Electron Correlations

 4.1 Configuration Interactions

4.1.1 Local and Localized Orbitals

4.1.2 Selection of Double Substitutions

4.1.3 Multireference CI

 4.2 Many-Body Perturbation Theory

5.Cumulants, Partitioning, and Projections

 5.1 Cumulant Representation

5.1.1 Ground-State Energy

5.1.2 Perturbation Expansion

 5.2 Projection and Partitioning Techniques

5.2.1 Coupled-Electron-Pair Approximations

5.2.2 Projections Based on Local Operators

5.2.3 Method of Increments

 5.3 Coupled-Cluster Method

 5.4 Comparison with Various Trial Wavefunctions

 5.5 Simplified Correlation Calculations

6.Excited States

 6.1 CI Calculations and Basis Set Requirements

 6.2 Excitation Energies in Terms of Cumulants

 6.3 Green's Function Method

6.3.1 Perturbation Expansions

6.3.2 The Projection Method

 6.4 Local Operators

7.Finite-Temperature Techniques

 7.1 Approximations for Thermodynamic Quantities

7.1.1 Temperature Green's Function

7.1.2 The Projection Method for T:0

 7.2 Functional-Integral Method

 7.2.1 Static Approximation

 7.3 Monte Carlo Methods

7.3.1 Sampling Techniques

7.3.2 Ground-State Energy

8.Colrelations in Atoms and Molecules

 8.1 Atoms

 8.2 Hydrocarbon Molecules

8.2.1 Analytic Expressions for Correlation-Energy Contributions

8.2.2 Simplified Correlation Calculations

 8.3 Molecules Consisting of First-Row Atoms

 8.4 Strength of Correlations in Different Bonds

 8.5 Polymers

8.5.1 Polyethylene

8.5.2 Polyacetylene

 8.6 Photoionization Spectra

9.Semiconductors and Insulators

 9.1 Ground-State Correlations

9.1.1 Semi-empirical Correlation Calculations

9.1.2 Ab Initio Calculations

 9.2 Excited States

9.2.1 Role of Nonlocal Exchange

9.2.2 The Energy Gap Problem

9.2.3 Hedin's GW Approximation

10,.Homogeneous Metallic Systems

 10.1 Fermi-Liquid Approach

 10.2 Charge Screening and the Random-Phase Approximation

 10.3 Spin Fluctuations

11.Transition Metals

 11.1 Correlated Ground State

 11.2 Excited States

 11.3 Finite Temperatures

11.3.1 Single-Site Approximation

11.3.2 Two-Sites Approximation

11.3.3 Beyond the Static Approximation

12.Strongly Correlated Electrons

 12.1 Molecules

 12.2 Anderson Hamiltonian

12.2.1 Calculation of the Ground-State Energy

12.2.2 Excited States

12.2.3 Noncrossing Approximation

 12.3 Effective Exchange Hamiltonian

12.3.1 Schrieffer-Wolff Trfinsformation

12.3.2 Kondo Divergency

12.3.3 Fermi-Liquid Description

 12.4 Magnetic Impurity in a Lattice of Strongly Correlated Electrons

 12.5 Hubbard Hamiltonian

12.5.1 Ground-State: Gutzwiller's Wavefunction and Spin-Density Wave State

12.5.2 Excitation Spectrum

12.5.3 The Limits of One Dimension and Infinite Dimensions

 12.6 The t - J Model

 12.7 Slave Bosons in the Mean-Field Approximation

 12.8 Kanamori's t-Matrix Approach

13.Heavy-Fermian Systems

 13.1 The Fermi Surface and Quasiparticle Excitations

13.1.1 Large Versus Small Fermi Surface

 13.2 Model Hamiltonian and Slave Bosons

 13.3 Application of the Noncrossing Approximation

 13.4 Variational Wavefunctions

 13.5 Quasiparticle Interactions

 13.6 Quasiparticle-Phonon Interactions Based on Strong Correlations

14.Superconductivity and the High-To Materials

 14.1 The Superconducting State

14.1.1 Pair States

14.1.2 BCS Ground State

14.1.3 Pair Breaking

 14.2 Electronic Properties of the High-Tc Materials

14.2.1" Electronic Excitations in the Cu-O Planes

14.2.2 Calculation of the Spectral Weight by Projection Techniques

14.2.3 Size of the Fermi Surface

 14.3 Other Properties of the Cuprates

14.3.1 Loss of Antiferromagnetic Order

14.3.2 Optical Conductivity

14.3.3 Magnetic Response

 14.4 Heavy Fermions in Nd2_xCexCuO4

Appendix

 A.Relation Between Exc[p] and the Pair Distribution Function

 B.Derivation of Several Relations Involving Cumulants

 C.Projection Method of Mori and Zwanzig

 D.Cross-Over from Weak to Strong Correlations

 E.Derivation of a General Form for If2)

 F.Hund's Rule Correlations

 G.Cumulant Representation of Expectation Values and Correlation Functions

 H.Diagrammatic Representation of Certain Expectation Values

 I.Derivation of the Quasiparticle Equation

 J.Coherent-Potential Approximation

 K.Derivation of the NCA Equations

 L.Ground-State Energy of a Heisenberg Antiferromagnet on a Square Lattice

 M.The Lanczos Method

References

Subject Index