量子物理中的格林函数（影印版）（第三版）
分類: 图书,自然科学,物理学,理论物理学,
作者： （希）伊科诺毛编著
出 版 社： 科学出版社
出版时间： 2009-3-1字数：版次： 1页数： 477印刷时间：开本： 16开印次： 1纸张：I S B N ： 9787030240071包装： 精装内容简介
The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a delta function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic quantum problems such as scattering and bound-level information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.
目录
Part Ⅰ Green's Functions in Mathematical Physics
1 Time-Independent Green's Functions
1.1 Formalism
1.2 Examples
1.2.1 Three-Dimensional Case (d = 3)
1.2.2 Two-Dimensional Case (d = 2)
1.2.3 One-Dimensional Case (d = 1)
1.2.4 Finite Domain (2
1.3 Summary
1.3.1 Definition
1.3.2 Basic Properties
1.3.3 Methods of Calculation
1.3.4 Use
Further Reading
Problems
2 Time-Dependent Green's Functions
2.1 First-Order Case
2.1.1 Examples
2.2 Second-Order Case
2.2.1 Examples
2.3 Summary
2.3.1 Definition
2.3.2 Basic Properties
2.3.3 Definition
2.3.4 Basic Properties
2.3.5 Use
Further Reading
Problems
Part Ⅱ Green's Functions in One-Body Quantum Problems
3Physical Significance of G.Application to the Free-Particle Case
3.1 General Relations
3.2 The Free-Particle (Ho = p2/2m) Case
3.2.1 3-d Case
3.2.2 2-d Case
3.2.3 1-d Case
3.3 The Free-Particle Klein Gordon Case
3.4 Summary
Further Reading
Problems
4Green's Functions and Perturbation Theory
4.1 Formalism
4.1.1 Time-Independent Case
4.1.2 Time-Dependent Case
4.2 Applications
4.2.1 Scattering Theory (E0)
4.2.2 Bound State in Shallow Potential Wells (E
4.2.3 The KKR Method for Electronic Calculations in Solids.
4.3 Summary
Further Reading
Problems
5Green's Functions for Tight-Binding Hamiltonians
5.1 Introductory Remarks
5.2 The Tight-Binding Hamiltonian (TBH)
5.3 Green's Functions
5.3.1 One-Dimensional Lattice
5.3.2 Square Lattice
5.3.3 Simple Cubic Lattice
5.3.4 Green's Functions for Bethe Lattices (Cayley Trees)
5.4 Summary
Further Reading
Problems
6Single Impurity Scattering
6.1 Formalism
6.2 Explicit Results for a Single Band
6.2.1 Three-Dimensional Case
6.2.2 Two-Dimensional Case
6.2.3 One-Dimensional Case
……
Part Ⅲ Green's Functions in Many-Body Systems