量子力学、统计学、聚合物物理学和金融市场中的路径积分:第2分册(第5版)

内容概要

Hagen Kleinert（H.克莱尼特,德国)是国际知名学者，在数学和物理学界享有盛誉。

书籍目录

Preface

Preface to Fourth Edition

Preface to Third Edition

Preface to Second Edition

Preface to First Edition

Fundamentals

1.1 Classical Mechanics

1.2 Relativistic Mechanics in Curved Spacetime

1.3 Quantum Mechanics

1.3.1 Bragg Reflections and Interference

1.3.2 Matter Waves

1.3.3 Schrodinger Equation

1.3.4 Particle Current Conservation

1.4 Dirac's Bra-Ket Formalism

1.4.1 Basis Transformations

1.4.2 Bracket Notation

1.4.3 Continuum Limit

1.4.4 Generalized Functions

1.4.5 Schrodinger Equation in Dirac Notation

1.4.6 Momentum States

1.4.7 Incompleteness and Poisson's Summation Formula

1.5 Observables

1.5.1 Uncertainty Relation

1.5.2 Density Matrix and Wigner Function

1.5.3 Generalization to Many Particles

1.6 Time Evolution Operator

1.7 Properties of the Time Evolution Operator

1.8 Heisenberg Picture of Quantum Mechanics

1.9 Interaction Picture and Perturbation Expansion

1.10 Time Evolution Amplitude

1.11 Fixed-Energy Amplitude

……

2 Path Integrals -- Elementary Properties and Simple Solutions

3 External Sources, Correlations, and Perturbation Theory

4Semiclassical Time Evolution Amplitude

5Variational Perturbation Theory

Appendix 5A Feynman Integrals for T≠O without Zero Frequency

Appendix 5B Proof of Scaling Relation for the Extrema of WN

Appendix 5C Second-Order Shift of Polaron Energy

Notes and References

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