EXACT SOLUTION OF THE LINEAR NONAUTONOMOUS SYSTEM WITH THE SU(1,1) DYNAMICAL GROUP

被引:23
|
作者
WANG, SJ
ZUO, W
WEIGUNY, A
LI, FL
机构
[1] LANZHOU UNIV,DEPT MODERN PHYS,LANZHOU 730000,PEOPLES R CHINA
[2] ACAD SINICA,INST MODERN PHYS,LANZHOU 730000,PEOPLES R CHINA
[3] UNIV MUNSTER,INST THEORET PHYS 1,W-4400 MUNSTER,GERMANY
[4] XIAN JIAOTONG UNIV,DEPT PHYS,XIAN 710049,PEOPLES R CHINA
基金
美国国家科学基金会;
关键词
D O I
10.1016/0375-9601(94)91034-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The exact solution and the invariant Cartan operator of the linear nonautonomous system with the SU (1,1) dynamical group are obtained by using the method of algebraic dynamics. The profound quantum-classical correspondence of the solutions is exhibited clearly: the quantum solutions of the system are determined by those of the corresponding classical equations and a continuous set of classical complex orbits corresponds to just one quantum solution. The nonadiabatic and adiabatic Berry phases are also calculated.
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页码:7 / 12
页数:6
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