Algebraic dynamical approach to the su(1,1)circle plus h(3) dynamical system: A generalized harmonic oscillator in an external field

被引:0
|
作者
Zuo, W
Wang, SJ
机构
[1] UNIV CATANIA,DIPARTMENTO FIS,I-95129 CATANIA,ITALY
[2] IST NAZL FIS NUCL,LAB NAZL SUD,I-95129 CATANIA,ITALY
[3] SW JIAOTONG UNIV,INST MODERN PHYS,CHENGDU 610031,PEOPLES R CHINA
[4] LANZHOU UNIV,DEPT MODERN PHYS,LANZHOU 730001,PEOPLES R CHINA
来源
JOURNAL DE PHYSIQUE I | 1997年 / 7卷 / 06期
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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 su(1,1)+h(3) dynamical algebra are obtained by using the method of algebraic dynamics. A novel, indirect quantum-classical correspondence of the solutions has been found. It has been shown that algebraic dynamics can be generalized from the linear dynamical system with su(1,1) Lie algebra to a more complicated system with su(1,1)+h(3) Lie algebra. Nonadiabatic Berry's phase is also calculated.
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页码:749 / 758
页数:10
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