Lie point symmetries for reduced Ermakov systems

被引：5

作者：

Haas, F ^{[1
]}

Goedert, J ^{[1
]}

机构：

[1] Univ Vale Rio dos Sinos, BR-93022000 Sao Leopoldo, RS, Brazil

来源：

PHYSICS LETTERS A | 2004年 / 332卷 / 1-2期

关键词：

Ermakov system; Lie symmetry; Ermakov invariant;

D O I：

10.1016/j.physleta.2004.08.051

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The condition for Lie point symmetries for reduced Ermakov systems is solved yielding three families of systems. SL(2, R) is always a group of symmetries when frequencies depends on time only. However, the generator of symmetries in more general cases have a contribution not associated with the SL(2, R) group. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：25 / 34

页数：10

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