Orthogonal functions invariant for the time-dependent harmonic oscillator

被引：24

作者：

Guasti, MF

Gil-Villegas, A

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, CBI, Mexico City 09340, DF, Mexico

[2] Univ Guanajuato, Inst Fis, Guanajuato, Mexico

来源：

PHYSICS LETTERS A | 2002年 / 292卷 / 4-5期

关键词：

invariance oscillators; time-dependent parameters;

D O I：

10.1016/S0375-9601(01)00805-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lewis invariant for the time-dependent harmonic oscillator is derived using a polar complex representation of the solution. This derivation is shown to be equivalent to an invariant stemming from the linearly independent solutions. The physical meaning of the involved constants and the associated auxiliary equation are elucidated. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：243 / 245

页数：3

共 5 条

[1]

Guasti MF, 2000, REV MEX FIS, V46, P530

[2]

Landau L. D., 1976, MECHANICS, V3rd ed, P154

[3] GENERALIZATION OF LEWIS INVARIANT FOR TIME-DEPENDENT HARMONIC-OSCILLATOR [J].