Conformal invariance and Hojman conserved quantities of generalized Hamilton systems

被引：13

作者：

Liu Chang ^{[1
,2
]}

Liu Shi-Xing ^{[1
]}

Mei Feng-Xiang ^{[2
]}

Guo Yong-Xin ^{[1
]}

机构：

[1] Liaoning Univ, Coll Phys, Shenyang 110036, Peoples R China

[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 11期

基金：

中国国家自然科学基金;

关键词：

generalized Hamilton systems; conformal invariance; Hojman conserved quantities; determining equation;

D O I：

10.7498/aps.57.6709

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper the conformal invariance under infinitesimal transformations of generalized Hamilton systems is studied. The necessary and sufficient conditions for the conformal invariance under infinitesimal transformations which has Lie symmetry are given. Then we get the Hojman conserved quantities from conformal invariance of generalized Hamilton systems. Finally, an illustrative example is given to verify the result.

引用

页码：6709 / 6713

页数：5

共 33 条

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