EXACT-SOLUTIONS FOR TIME-DEPENDENT PHENOMENA IN QUANTUM-MECHANICS

被引:148
作者
KLEBER, M
机构
[1] Physik Department T30, Technische Universität München
来源
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 1994年 / 236卷 / 06期
关键词
D O I
10.1016/0370-1573(94)90029-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review and discuss exact solutions for selected initial value problems. Starting with simple oscillator problems (forced harmonic oscillator, tunneling through a parabolic barrier, frequency modulated oscillator, Heisenberg microscope), we continue by reviewing various techniques which can be used to calculate propagators. We are then in a position to discuss analytic properties of problems which lie at the heart of quantum mechanics: Time-dependent field emission, exponential decay, the dynamics of resonant tunneling and the transfer of charge in atomic collisions. Special attention is paid to the evaluation and illustration of problems in terms of their analytic solutions.
引用
收藏
页码:331 / 393
页数:63
相关论文
共 183 条
[1]  
Abrikosov A. A., 1963, METHODS QUANTUM FIEL
[2]  
ALBEVERIO F, 1988, SOLVALBE MODELS QUAN
[3]  
Allen L., 1987, WILEYINTERSCIENCE PU, V28
[4]  
[Anonymous], 1968, ELEMENTARY QUANTUM M
[5]  
[Anonymous], 1970, HDB MATH FNCTIONS
[6]  
[Anonymous], 1936, RIC SCI
[7]  
[Anonymous], 1986, ANTHROPIC COSMOLOGIC
[8]  
[Anonymous], 1977, MEASUREMENT WEAK FOR
[9]  
ARGAMAN N, 1992, PREPRINT
[10]  
ARONOV AG, 1982, EXCITONS, P267