| 带有附加项的广义Hamilton系统的Mei对称性 |
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| 引用本文： | 贾利群,郑世旺.带有附加项的广义Hamilton系统的Mei对称性[J].物理学报,2006,55(8):3829-3832. |
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| 作者姓名： | 贾利群 郑世旺 |
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| 作者单位： | (1)江南大学理学院，无锡 214122; (2)商丘师范学院物理与信息工程系,商丘 476000 |
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| 基金项目： | 国家自然科学基金;江南大学校科研和教改项目 |
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| 摘 要： | 研究带附加项的广义Hamilton系统的Mei对称性的定义和判据，给出系统Mei对称性为Lie对称性的充分必要条件. 通过Lie对称性间接导出具有Mei对称性且带有附加项的广义Hamilton系统运动微分方程的Hojman守恒量. 举例说明结果的应用.
关键词：
附加项
广义Hamilton系统
Mei对称性
Hojman守恒量
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| 关 键 词： | 附加项 广义Hamilton系统 Mei对称性 Hojman守恒量 |
| 文章编号： | 1000-3290/2006/55(08)/3829-04 |
| 收稿时间： | 11 22 2005 12:00AM |
| 修稿时间： | 2005-11-222006-04-25 |
Mei symmetry of generalized Hamilton systems with additional terms |
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| Jia Li-Qun,Zheng Shi-Wang.Mei symmetry of generalized Hamilton systems with additional terms[J].Acta Physica Sinica,2006,55(8):3829-3832. |
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| Authors: | Jia Li-Qun Zheng Shi-Wang |
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| Abstract: | The definition and the criterion of Mei symmetry of generalized Hamilton systems with additional terms is studied in this paper. A necessary and sufficient condition for Mei symmetry of systems to be Lie symmetry is given. The Hojman conserved quantity for the differential equation of motion of generalized Hamilton system with additional terms being Mei symmetry can be deduced indirectly by Lie symmetry. An example is given to show the application of this result. |
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| Keywords: | additional terms generalized Hamilton system Mei symmetry Hojman conserved quantity |
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