Exact quantum solutions of general driven time-dependent quantum quadratic system

被引：4
|
作者：
Fan, Kaimin
Zheng, Yujun [1 ]
Ren, Weiyi
Ding, Shiliang
机构：
[1] Shandong Univ, Sch Phys & Microelect, Jinan 250100, Shandong, Peoples R China
[2] China W Normal Univ, Sch Phys & Elect Informat, Nanchong 637002, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2007年 / 107卷 / 06期
关键词：
time-dependent quadratic system; propagator; Lie algebraic approach;
D O I：
10.1002/qua.21262
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
We studied the general time-dependent linear and quadratic system via dynamical symmetries. In an algebraic framework, we obtained exact solutions of the evolution operators, propagators, and wave functions of the general time-dependent linear and quadratic system. To illustrate our calculations, we discuss a few special cases, including a particle driven by a monochromatic electric field, and cases of oscillatory, linear, or monotonic with respect to the time of the quadratic system. (C) 2006 Wiley Periodicals, Inc.
引用
收藏
页码：1355 / 1366
页数：12
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