多体系统的量子理论
2009-5
世界图书出版公司
扎勾斯凯
229
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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.)
Preface1 List 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 12 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 23 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 Techniques for 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 Nonequilibrium Green'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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插图很有意思，内容也很好。
送货速度快，书不错
印刷不错，为什么封面或封底老是有折痕？
一本不错的关于量子多体问题的书，简洁明白