A Geometric Approach to Time Evolution Operators of Lie Quantum Systems

被引：9
|
作者：
Carinena, Jose F. [1 ]
de Lucas, Javier [1 ]
Ramos, Arturo [2 ]
机构：
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
[2] Univ Zaragoza, Dept Anal Econ, Zaragoza 50005, Spain
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2009年 / 48卷 / 05期
关键词：
Time evolution; Lie systems; DEPENDENT HARMONIC-OSCILLATOR; SUPERPOSITION FORMULAS; DIFFERENTIAL-EQUATIONS; SCHRODINGER-EQUATION; RICCATI EQUATION; WAVE-FUNCTION; PHASE; PARTICLE; MOTION; STATES;
D O I：
10.1007/s10773-008-9909-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equations of Lie type and we show how these methods explain certain ad hoc methods used in previous papers in order to obtain exact solutions. Finally, several instances of time-dependent quadratic Hamiltonian are solved.
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页码：1379 / 1404
页数：26
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