| 约束Birkhoff方程的形式不变性与Lie对称性 |
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| 引用本文： | 王树勇,梅凤翔.约束Birkhoff方程的形式不变性与Lie对称性[J].北京理工大学学报,2002,22(2):139-142. |
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| 作者姓名： | 王树勇 梅凤翔 |
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| 作者单位： | 1. 北京理工大学,应用力学系,北京,100081广东水利电力职业技术学院,计算机系,广东,广州,510610;2. 北京理工大学,应用力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19972010; |
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| 摘 要： | 研究约束Birkhoff方程的形式不变性和Lie对称性及其关系.给出了形式不变性和Lie对称性的定义和判据;然后导出形式不变性与Lie对称性的关系,指出形式不变性与Lie对称性的结构方程和守恒量有相同的形式;最后,给出一个说明性的例子.
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| 关 键 词： | 分析力学 约束Birkhoff方程 形式不变性 Lie对称性 |
| 文章编号： | 1001-0645(2002)02-0139-04 |
| 收稿时间： | 9/4/2001 12:00:00 AM |
Form Invariance and Lie Symmetry of Constrained Birkhoffian Systems |
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| WANG Shu yong and MEI Feng xiang.Form Invariance and Lie Symmetry of Constrained Birkhoffian Systems[J].Journal of Beijing Institute of Technology(Natural Science Edition),2002,22(2):139-142. |
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| Authors: | WANG Shu yong and MEI Feng xiang |
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| Institution: | WANG Shu yong 1,2,MEI Feng xiang 1 |
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| Abstract: | Relation between the form invariance and Lie symmetry of constrained Birkhoffian systems is studied. First, the definitions and criterions of the form invariance and Lie symmetry in the systems are given. Next, the relation between them is expounded and proved. It is shown that the structure equation and conserved quantity of the form invariance and Lie symmetry of constrained Birkhoffian systems have the same form. Finally, an example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics constrained Birkhoffian mechanics form invariance Lie symmetry |
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