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量子力学专题选 英文版PDF|Epub|txt|kindle电子书版本网盘下载
- （英）AskoldM.Perelomov，（英）YakovB.Zeldovich著 著
- 出版社： 世界图书出版公司北京公司
- ISBN：750624974X
- 出版时间：2001
- 标注页数：335页
- 文件大小：66MB
- 文件页数：345页
- 主题词：
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图书目录
Chapter 1．Discrete Spectrum1
1．Introduction1
2．States with small binding energy8
3．Point interaction and its correspondence to boundary conditions14
4．Particle in field of several point potentials17
5．The Coulomb potential20
6．Three-dimensional oscillator28
7．Virial theorem and its generalizations41
8．Identical particles and statistical physics44
Chapter 2．Continuous Spectrum49
1．Introduction.Wave functions of continuous spectrum with l=049
2．Motion with orbital angular momentum l≠0. Motion in the Coulomb field57
3．Wave functions of continuous spectrum.Scattering cross-section64
4．Optical theorem and its generalization70
Chapter 3．Analytic Properties of Wave Function75
1．Analytic properties of S-matrix75
2．"Redundant"poles84
3．Properties of residues of Sl(k)88
4．Dispersion relations93
Chapter 4．Inverse Scattering Problem101
1．The Marchenko equation101
2．Reflectionless potentials106
3．Isospectral deformations of quantum oscillator109
4．Isospectral deformations of the Schr？dinger equation and invariants of the Korteweg-de Vries equation114
Chapter 5．The Green Functions and Perturbation Theory123
1．Introduction.The Green function of the radial Schr？dinger equation123
2．Regular method of obtaining of the Green functions128
3．Some properties of the Green functions134
4．The Green function for several free particles136
5．Perturbation theory.Coordinate representation138
6．Momentum representation143
7．The Green function in momentum representation.Operator algebra149
8．Scattering operator154
9．Formulae for point potentials159
10．Perturbation theory for continious spectrum163
11．Convergence of series of perturbation theory168
12．The time-dependent Green function174
Chapter 6．Quasi-classical Approximation177
1．Wave function in quasi-classical approximation177
2．Quasi-classical approximation for the degenerate Fermi gas182
3．Multi-dimensional case188
4．Non-stationary problems199
Chapter 7．Exact Solutions of Non-stationary Problems for Oscillator213
1．Introduction213
2．Wave function of oscillator with variable frequency under action of external force214
3．Quantum oscillator under action of external force.Transition probabilities218
4．Parametric excitation of quantum oscillator220
5．Oscillator with variable frequency under action of external force.Transition probabilities227
6．Quantum oscillator and adiabatic invariants231
7．Quasi-energy of system under action of periodic force236
8．The Heisenberg representation and canonical transformations241
Chapter 8．Quasi-stationary States255
1．Introduction.The Gamov theory255
2．Wave functions262
3．Example of quasi-stationary state267
4．Decay of quasi-stationary state272
5．Radioactive decay law278
6．Generalization of normalization.Perturbation theory for quasi-stationary states282
7．Asymptotic behaviour of wave function at r→∞ and t→∞285
8．Creation of unstable particle289
9．Transition from quasi-stationary to stationary states295
10．Collision time298
11．Types of long-lived states301
Appendix A．Specific cases of the Schr？dinger equation spectrum305
Appendix B．Quasi-classical properties of highly excited levels in the Coulomb field317
Bibliography321
Subject Index333