Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates

被引：0
|
作者：
Wu Hui-Bin [1 ]
Mei Feng-Xiang [1 ]
机构：
[1] Beijing Inst Technol, Sch Sci, Beijing 100081, Peoples R China
来源：
CHINESE PHYSICS B | 2009年 / 18卷 / 08期
基金：
中国国家自然科学基金;
关键词：
quasi-coordinate; holonomic system; symmetry of Lagrangians; conserved quantity; NONHOLONOMIC MECHANICAL SYSTEMS; NOETHER CONSERVED QUANTITY; FORM INVARIANCE; LIE SYMMETRY; EQUATIONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper discusses the symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which there exists a conserved quantity and the form of the conserved quantity are obtained. Finally, an example is shown to illustrate the application of the results.
引用
收藏
页码：3145 / 3149
页数：5
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