ERMAKOV SYSTEMS - A GROUP THEORETIC APPROACH

被引：19
|
作者：
GOVINDER, KS
LEACH, PGL
机构：
[1] Department of Mathematics and Applied Mathematics, University of Natal, Durban
来源：
PHYSICS LETTERS A | 1994年 / 186卷 / 5-6期
关键词：
D O I：
10.1016/0375-9601(94)90700-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recently Leach [Phys. Lett. A 158 (1991) 102] reported that Ermakov systems have the Lie algebra sl(2, R). Leach also reported the Lie algebra of the Ermakov-Lewis invariant to be sl(2, R). This is misleading and we complete his results. We also determine the general equation invariant under this new symmtery. Finally we find all (four) first integrals for Hamiltonian Ermakov systems.
引用
收藏
页码：391 / 395
页数：5
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