量子物理中的格林函数(第3版)(影印版)(国外物理名著系列)(Green's Functions in Quantum Physics)
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品牌: 伊科诺毛
基本信息·出版社：科学出版社
·页码：477 页
·出版日期：2009年
·ISBN：7030240073
·条形码：9787030240071
·包装版本：3版
·装帧：精装
·开本：16
·正文语种：英语
·丛书名：国外物理名著系列
·外文书名：Green's Functions in Quantum Physics
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内容简介《量子物理中的格林函数(第3版)(影印版)》是国外物理名著系列之一。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.
编辑推荐《量子物理中的格林函数》主要讲述了：为了满足国内读者对国外优秀物理学著作的需求，科学出版社启动了引进国外优秀著作的工作，出版社的这一举措得到了国内物理学界的积极响应和支持，很快成立了专家委员会，开展了选题的推荐和筛选工作，在出版社初选的书单基础上确定了第一批引进的项目，这些图书几乎涉及了近代物理学的所有领域，既有阐述学科基本理论的经典名著，也有反映某一学科专题前沿的专著。
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
3 Physical 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
4 Green'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
5 Green'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
6 Single 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
6.3 Applications
6.3.1 Levels in the Gap
6.3.2 The Cooper Pair and Superconductivity
6.3.3 The Kondo Problem
6.3.4 Lattice Vibrations in Crystals Containing "Isotope" Impurities
6.4 Summary
Further Reading
Problems
7 Two or More Impurities; Disordered Systems
7.1 Two Impurities
7.2 Infinite Number of Impurities
7.2.1 Virtual Crystal Approximation (VCA)
7.2.2 Average t-Matrix Approximation (ATA)
7.2.3 Coherent Potential Approximation (CPA)
7.2.4 The CPA for Classical Waves
7.2.5 Direct Extensions of the CPA
7.2.6 Cluster Generalizations of the CPA
7.3 Summary
Further Reading
Problems
8 Electrical Conductivity and Green's Functions
8.1 Electrical Conductivity and Related Quantities
8.2 Various Methods of Calculation
8.2.1 Phenomenological Approach
8.2.2 Boltzmann's Equation
8.2.3 A General, Independent-Particle Formula for Conductivity
8.2.4 General Linear Response Theory
8.3 Conductivity in Terms of Green's Functions
8.3.1 Conductivity Without Vertex Corrections
8.3.2 CPA for Vertex Corrections
8.3.3 Vertex Corrections Beyond the CPA
8.3.4 Post-CPA Corrections to Conductivity
8.4 Summary
Further Reading
Problems
9 Localization, Transport, and Green's Functions
9.1 An Overview
9.2 Disorder, Diffusion, and Interference
9.3 Localization
9.3.1 Three-Dimensional Systems
9.3.2 Two-Dimensional Systems
9.3.3 One-Dimensional and Quasi-One-Dimensional Systems
9.4 Conductance and Transmission
9.5 Scaling Approach
9.6 Other Calculational Techniques
9.6.1 Quasi-One-Dimensional Systems and Scaling
9.6.2 Level Spacing Statistics
9.7 Localization and Green's Functions
9.7.1 Green's Function and Localization in One Dimension .
9.7.2 Renormalized Perturbation Expansion (RPE) and Localization
9.7.3 Green's Functions and Transmissions in Quasi-One-Dimensional Systems
9.8 Applications
9.9 Summary
Further Reading
Problems
Part Ⅲ Green's Functions in Many-Body Systems
10 Definitions
10.1 Single-Particle Green's Functions in Terms of Field Operators
10.2 Green's Functions for Interacting Particles
10.3 Green's Functions for Noninteracting Particles
10.4 Summary
Further Reading
Problems
11 Properties and Use of the Green's Functions
11.1 Analytical Properties of gs and gs
11.2 Physical Significance and Use of gs and gs
11.3 Quasiparticles
11.4 Summary
11.4.1 Properties
11.4.2 Use
Further Reading
Problems
12 Calculational Methods for g
12.1 Equation of Motion Method
12.2 Diagrammatic Method for Fermions at T=0
12.3 Diagrammatic Method for T≠0
12.4 Partial Summations. Dyson's Equation
12.5 Other Methods of Calculation
12.6 Summary
Further Reading
Problems
13 Applications
13.1 Normal Fermi Systems. Landau Theory
13.2 High-Density Electron Gas
13.3 Dilute Fermi Gas
13.4 Superconductivity
13.4.1 Diagrammatic Approach
13.4.2 Equation of Motion Approach
13.5 The Hubbard Model
13.6 Summary
Further Reading
Problems
A Dirac's delta Function
B Dirac's bra and ket Notation
C Solutions of Laplace and Helmholtz Equations in Various Coordinate Systems
C.1 Helmholtz Equation
C.1.1 Cartesian Coordinates
C.1.2 Cylindrical Coordinates
C.1.3 Spherical coordinates
C.2 Vector Derivatives
C.2.1 Spherical Coordinates
C.2.2 Cylindrical Coordinates
C.3 Schrodinger Equation in Centrally Symmetric 3-and 2-Dimensional Potential V
D Analytic Behavior of G(z) Near a Band Edge
E Wannier Functions
F Renormalized Perturbation Expansion (RPE)
G Boltzmann's Equation
H Transfer Matrix, S-Matrix, etc
I Second Quantization
Solutions of Selected Problems
References
Index
……[看更多目录]
序言对于国内的物理学工作者和青年学生来讲，研读国外优秀的物理学著作是系统掌握物理学知识的一个重要手段。但是，在国内并不能及时、方便地买到国外的图书，且国外图书不菲的价格往往令国内的读者却步，因此，把国外的优秀物理原著引进到国内，让国内的读者能够方便地以较低的价格购买是一项意义深远的工作，将有助于国内物理学工作者和青年学生掌握国际物理学的前沿知识，进而推动我国物理学科研和教学的发展。
为了满足国内读者对国外优秀物理学著作的需求，科学出版社启动了引进国外优秀著作的工作，出版社的这一举措得到了国内物理学界的积极响应和支持，很快成立了专家委员会，开展了选题的推荐和筛选工作，在出版社初选的书单基础上确定了第一批引进的项目，这些图书几乎涉及了近代物理学的所有领域，既有阐述学科基本理论的经典名著，也有反映某一学科专题前沿的专著。在选择图书时，专家委员会遵循了以下原则：基础理论方面的图书强调“经典”，选择了那些经得起时间检验、对物理学的发展产生重要影响、现在还不“过时”的著作（如狄拉克的《量子力学原理》）。反映物理学某一领域进展的著作强调“前沿”和“热点”，根据国内物理学研究发展的实际情况，选择了能够体现相关学科最新进展，对有关方向的科研人员和研究生有重要参考价值的图书。这些图书都是最新版的，多数图书都是2000年以后出版的，还有相当一部分是当年出版的新书。因此，这套丛书具有权威性、前瞻性和应用性强的特点。由于国外出版社的要求，科学出版社对部分图书进行了少量的翻译和注释（主要是目录标题和练习题），但这并不会影响图书“原汁原味”的感觉，可能还会方便国内读者的阅读和理解。
“他山之石，可以攻玉”，希望这套丛书的出版能够为国内物理学工作者和青年学生的工作和学习提供参考，也希望国内更多专家参与到这一工作中来，推荐更多的好书。
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