多体系统的量子理论
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作者： （加）扎勾斯凯 著
出 版 社：
出版时间： 2009-5-1字数：版次： 1页数： 229印刷时间：开本： 24开印次： 1纸张：I S B N ： 9787510004902包装： 平装内容简介
This book grew out of lectures that I gave in the framework of a graduate course in quantum theory of many-body systems at the Applied Physics Department of Chalmers University of Technology and G6teborg University (Geteborg, Sweden)in the years 1992-1995. Its purpose is to give a compact and self-contained account of basic ideas and techniques of the theory from the "condensed matter" point of view. The book is addressed to graduate students with knowledge of standard quantum mechanics and statistical physics. (Hopefully, physicists working in other fields may also find it useful.)
目录
Preface
1List of Tables Basic Concepts
1.1 Introduction: Whys and Hows of Quantum Many-Body Theory
1.1.1 Screening of Coulomb Potenti in Metal
1.1.2 Time-Dependent Effects, Plasmons
1.2 Propagation Function in a One-Body Quantum Theory
1.2.1 Propagator: Definition and Properties
1.2.2 Feynman's Formulation of Quantum Mechanics: Path (Functional) Integrals
1.2.3 Quantum Transport in Mesoscopic Rings: Path Integral Description
1.3 Perturbation Theory for the Propagator
1.3.1 General Formalism
1.3.2 An Example: Potential Scattering
1.4 Second Quantization
1.4.1 Description of Large Collections of Identical Particles. Fock's Space
1.4.2 Bosons
1.4.3 Number and Phase Operators and Their Uncertainty Relation
1.4.4 Fermions
1.5 Problems to Chapter 1
2 Green's Functions at Zero Temperature
2.1 Green's Function of The Many-Body System: Definition
and Properties
2.1.1 Definition of Green's Functions of the Many-Body System
2.1.2 Analytic Properties of Green's Functions
2.1.3 Retarded and Advanced Green's Functions
2.1.4 Green's Function and Observables
2.2 Perturbation Theory: Feynman Diagrams
2.2.1 Derivation of Feynman Rules. Wick's and Cancellation Theorems
2.2.2 Operations with Diagrams. Self Energy. Dyson's Equation
2.2.3 Renormalization of the Interaction. Polarization Operator
2.2.4 Many-Particle Green's Functions. Bethe-Salpeter Equations. Vertex Function
2.3 Problems to Chapter 2
3 More Green's Functions, Equilibrium and Otherwise, and Their Applications
3.1 Analytic Properties of Equilibrium Green's Functions
3.l.1 Statistical Operator (Density Matrix). The Liouville Equation
3.1.2 Definition and Analytic Properties of Equilibrium Green's Functions
3.2 Matsubara formalism
3.2.1 Bloch's Equation
3.2.2 Temperature (Matsubara) Green's Function
3.2.3 Perturbation Series and Diagram Techniquesfor the Temperature Green's Function
3.3 Linear Response Theory
3.3.1 Linear Response Theory. Kubo Formulas
3.3.2 Fluctuation-Dissipation Theorem
3.4 Nonequilibrium Green's Functions
3.4.1 Nonequilibrium causal Green's function: definition
3.4.2 Contour Ordering and Three More NonequilibriumGreen's Functions
3.4.3 The Keldysh Formalism
3.5 Quantum Kinetic Equation
3.5.1 Dyson's Equations for Nonequilibrium Green's Functions
3.5.2 The Quantum Kinetic Equation
3.6 Application: Electrical Conductivity of Quantum Point Contacts
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