| 相空间中力学系统的Lie-Mei对称性 |
| |
| 引用本文： | 方建会,王鹏,丁宁. 相空间中力学系统的Lie-Mei对称性[J]. 物理学报, 2006, 55(8): 3821-3824 |
| |
| 作者姓名： | 方建会 王鹏 丁宁 |
| |
| 作者单位： | 中国石油大学(华东)物理科学与技术学院,东营 257061 |
| |
| 摘 要： | 研究了相空间中力学系统的一种新对称性——Lie-Mei对称性及其守恒量. 提出这种新对称性的定义, 给出了系统Lie-Mei对称性的判据, 得到了系统Lie-Mei对称性导致的广义Hojman守恒量和Mei守恒量. 举例说明了结果的应用.关键词：相空间力学系统Lie-Mei对称性守恒量
|
| 关 键 词： | 相空间 力学系统 Lie-Mei对称性 守恒量 |
| 文章编号： | 1000-3290/2006/55(08)/3821-04 |
| 收稿时间： | 2005-10-18 |
| 修稿时间： | 2005-10-182005-11-18 |
Lie-Mei symmetry of mechanical system in phase space |
| |
| Fang Jian-Hui,Wang Peng,Ding Ning. Lie-Mei symmetry of mechanical system in phase space[J]. Acta Physica Sinica, 2006, 55(8): 3821-3824 |
| |
| Authors: | Fang Jian-Hui Wang Peng Ding Ning |
| |
| Affiliation: | College of Physics Science and Technology, China University of Petroleum ( East China |
| |
| Abstract: | In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in the phase space are studied. The definition of this new symmetry, i.e., the Lie-Mei symmetry is presented, and the criterion of this new symmetry is also given. The generalized Hojman and the Mei conserved quantities of the Lie-Mei symmetry of the system are obtained. An example is given to illustrative the application of the result. |
| |
| Keywords: | phase space mechanical system Lie-Mei symmetry conserved quantity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
|
点击此处可从《物理学报》下载免费的PDF全文 |
