COHERENT-STATE PROPAGATOR OF THE GENERALIZED TIME-DEPENDENT PARAMETRIC OSCILLATOR

被引:27
作者
LO, CF
机构
[1] Department of Physics, The Chinese University of Hong Kong Shatin, New Territories
来源
EUROPHYSICS LETTERS | 1993年 / 24卷 / 05期
关键词
D O I
10.1209/0295-5075/24/5/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we derive the coherent-state propagator of a generalized time-dependent parametric oscillator using the Lie algebraic approach. The method is simple and gives the same results as those obtained by the path integral approach. Furthermore, this Lie algebraic approach can be easily generalized to a time-dependent many-body system once the algebraic structure of its Hamiltonian is identified.
引用
收藏
页码:319 / 323
页数:5
相关论文
共 9 条
[1]   CANONICAL TREATMENT OF HARMONIC-OSCILLATOR WITH VARIABLE MASS [J].
ABDALLA, MS .
PHYSICAL REVIEW A, 1986, 33 (05) :2870-2876
[2]  
CARTIER P, 1966, P S PURE MATH, V9
[3]  
DATTOLI G, 1988, RIV NUOVO CIMENTO, V11
[4]   COHERENT STATES AND THE RESONANCE OF A QUANTUM DAMPED OSCILLATOR [J].
DODONOV, VV ;
MANKO, VI .
PHYSICAL REVIEW A, 1979, 20 (02) :550-560
[5]   PATH-INTEGRAL APPROACH TO PROBLEMS IN QUANTUM OPTICS [J].
HILLERY, M ;
ZUBAIRY, MS .
PHYSICAL REVIEW A, 1982, 26 (01) :451-460
[6]   PROPAGATOR OF THE GENERAL DRIVEN TIME-DEPENDENT OSCILLATOR [J].
LO, CF .
PHYSICAL REVIEW A, 1993, 47 (01) :115-118
[7]  
LO CF, IN PRESS PHYS REV A
[8]  
LOUISELL WH, 1973, QUANTUM STATISTICAL
[9]  
Weyl H., 1928, GRUPPENTHEORIE QUANT