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| Hamilton系统的形式不变性和Lie对称性 | |
| 引用本文： | 李兴明,余莉霞,王树勇.Hamilton系统的形式不变性和Lie对称性[J].昆明理工大学学报(理工版),2003,28(4):90-92,96. |
| 作者姓名： | 李兴明 余莉霞 王树勇 |
| 作者单位： | 1. 云南交通职业技术学院,云南,昆明,650101 2. 昆明理工大学建筑工程学院,云南,昆明,650224 3. 广东水利电利职业技术学院,广东,广州,510635 |
| 摘 要： | 研究Hamilton力学系统在相空间的形式不变性及与Lie对称性的关系．首先，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，给出形式不变性与Lie对称性的结构方程和守恒量，并举例说明结果的应用． |
| 关 键 词： | Hamilton系统 形式不变性 Lie对称性 相空间 结构方程 力学系统 Lagrange系统 无限小变换 |
| 文章编号： | 1007-855X(2003)04-0090-04 |
Form Invariance and Lie Symmetry of Hamilton Systems |
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| LI Xing ming ,YU Li xia ,WANG Shu yong.Form Invariance and Lie Symmetry of Hamilton Systems[J].Journal of Kunming University of Science and Technology(Natural Science Edition),2003,28(4):90-92,96. | |
| Authors: | LI Xing ming YU Li xia WANG Shu yong |
| Affiliation: | LI Xing ming 1,YU Li xia 2,WANG Shu yong 3 |
| Abstract: | The relationship between the form invariance and Lie symmetry of Hamilton systems in phase space is studied. First, the definitions, criterions of the form invariable and Lie symmetry of the systems are given. Next, the relationship between them is deduced. The structure equation and conserved quantity of the form invariance and Lie symmetry of Hamilton systems are provided. Finally, an example is given to illustrate the application of the results. |
| Keywords: | analytical mechanics Hamilton Systems form invariance Lie symmetry |
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