图书信息

内容简介

目录

图书信息

出版社: 世界图书出版公司; 第1版 (2003年6月1日)

平装: 891页

开本: 32开

ISBN: 7506259435

条形码: 9787506259439

内容简介

Since this book first appeared three years ago,a number of important developments have taken place calling for various extensions to the text.

Chapter 4 now contains a discussion of the features of the xemiclassical quantization which are relevant for multidimensional chaotic systems.

本书为英文版。

目录

1 Fundamentals

1.1 Classical Mechanics

1.2 Quantum Mechanics

1.3 Dirac's Bra-Ket Formalism

1.4 Boservables

1.5 Quantum Mechanics of General Lagrangian Systems

1.6 Particle on the Surface of a Sphere

1.7 Spinning Top

1.8 Time Evolution Operator

1.9 Properties of the Time Evolution Operator

1.10 Heisenberg Picture of Quantum Mechanics

1.11 Classical and Quantum Statistics

Appendix 1A The Asymmetric Top

Notes and References

2 Path Integrals-Elementary Properties and Simple Solutions

2.1 Path Integral Representation of Time Evolution Amplitudes

2.2 Exact Solution for a Free Particle

2.3 Finite-E Properties of the Free-Paticle Amplitued

2.4 Exact Solution for the Harmonic Oscillator

2.5 Useful Fluctuation Formulas

2.6 Oscillator Amplitude on a Finite Lattice

2.7 Gelfand-Yaglom Formula

2.8 Oscillator Wave Functions

2.9 Path Integrals and Quantum Statistics

2.10 Density Matrix

2.11 Quamtum Statstics of Harmonic Oscillator

2.12 Time-Dependent Harmonic Potential

3.13 Functional Measure in Fourier Space

3.14 Classical Limit

3.15 Calculation Techniques on a Finite Sliced Time Axis Poisson Formula

……

3 External Sources,Correlations,and Prturbation Theory

4 Semicalssical Time Evolution Amplitued

5 Variational Perturbaion Theory

6 Path Integrals with Topological Constraints

7 Many Particle Orbits-Statistics and Second Quantization

8 Path Integrals in Spherical Coordinates

9 Fixed-Energy Amplitude and Wave Functions

10 Short-Time Amplitude in Spaces with Curvature and Torsion

11 Schrodinger Equation in General Metric-Affine Sapces

12 New Path Integral Formula for Singular Potentials

13 Path Integral of the Coulomb System

14 Solution of Futher Path Ingerals by the Duru-Kleinert Method

15 Path Integrals in Polymer Physics

16 Polymers and Particle Orbits in Multiply Connected Spaces

17 Path Integrals and Tunneling

18 Path Integrals and Nonequilibrium Quantum Statistics

19 Path Integrals for Relativistic Particle Orbits

Index