Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system

被引：94

作者：

Luo, SK ^{[1
]}

机构：

[1] Changsha Univ, Inst Math Mech & Math Phys, Changsha 410003, Peoples R China

来源：

ACTA PHYSICA SINICA | 2003年 / 52卷 / 12期

关键词：

Hamiltonian system; Mei symmetry; Noether symmetry; Lie symmetry; conserved quatntity;

D O I：

10.7498/aps.52.2941

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Mei symmetry, i.e. the form invariance, of a Hamiltonian system is studied. The definition and the determining equation of Mei symmetry in the Hamiltonian system are given. The relations among the Mei symmetry, the Noether symmetry and the Lie symmetry are studied, and the conserved quantities of Hamiltonian system are obtained. An example is given to illustrate the application of the result.

引用

页码：2941 / 2944

页数：4

共 21 条

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