On the Time-Dependent Solutions of the Schrodinger Equation. I. The Linear Time-Dependent Potential

被引：4

作者：

Palma, A. ^{[1
]}

Villa, M. ^{[2
]}

Sandoval, L. ^{[3
]}

机构：

[1] BUAP, Inst Fis, Puebla 72570, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Quim, Mexico City 09340, DF, Mexico

[3] Benemerita Univ Autonoma Puebla, Fac Ciencias Computac, Puebla 72570, Mexico

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2011年 / 111卷 / 7-8期

关键词：

time dependent Hamiltonian; linear potential; Lie Algebra; Schrodinger; equation; Wei-Norman theorem;

D O I：

10.1002/qua.22781

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：

The solution of the Schrodinger equation for the linear time-dependent potential has recently been the subject of several publications. In this report, we show this is one of the few systems that leads to a solvable Lie algebra. In fact, we consider a more general problem where the linear time-dependent potential is only a particular case. The solution is found by using the well-known theorem of Wei-Norman. (C) 2010 Wiley Periodicals, Inc. Int J Quantum Chem 111: 1646-1650, 2011

引用

页码：1646 / 1650

页数：5

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