Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation

被引：44
|
作者：
Cai Jian-Le [1 ,2 ]
Mei Feng-Xiang [2 ]
机构：
[1] Hangzhou Normal Univ, Coll Sci, Hangzhou 310018, Peoples R China
[2] Beijing Inst Technol, Coll Sci, Beijing 100081, Peoples R China
来源：
ACTA PHYSICA SINICA | 2008年 / 57卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Lagrange system; Lie point transformation; conformal invariance; conserved quantity;
D O I：
10.7498/aps.57.5369
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Conformal invariance and conserved quantities of Lagrange system under Lie point transformation are studied. Firstly, the definition of conformal invariance and determining equation for the Lagrange system are provided. Secondly, the relationship between the system's conformal invariance and Lie symmetry are discussed; the necessary and sufficient condition on which the system's conformal invariance would be Lie symmetry under the infinitesimal one-parameter point transformation group is deduced; and the conserved quantities of the system are given. Lastly, an illustration example is introduced.
引用
收藏
页码：5369 / 5373
页数：5
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