| 增加附加项后广义Hamilton系统的形式不变性与Mei守恒量 |
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| 引用本文： | 孙现亭,张耀宇,薛喜昌,贾利群.增加附加项后广义Hamilton系统的形式不变性与Mei守恒量[J].物理学报,2015,64(6):64502-064502. |
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| 作者姓名： | 孙现亭 张耀宇 薛喜昌 贾利群 |
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| 作者单位： | 1. 平顶山学院电气信息工程学院, 平顶山 467002;2. 江南大学理学院, 无锡 214122 |
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| 基金项目： | 国家自然科学基金(批准号:11142014)资助的课题~~ |
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| 摘 要： | 研究增加附加项后广义Hamilton系统的形式不变性及其导出的Mei守恒量. 引进无限小变换群及其生成元向量, 给出增加附加项后广义Hamilton系统的形式不变性的定义和判据, 利用规范函数满足的结构方程, 导出与该系统形式不变性相应的Mei守恒量的表达式. 最后, 给出一个算例, 用于说明结果的应用.
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| 关 键 词： | 附加项 广义Hamilton系统 形式不变性 Mei守恒量 |
| 收稿时间： | 2014-09-14 |
Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms |
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| Sun Xian-Ting;Zhang Yao-Yu;Xue Xi-Chang;Jia Li-Qun.Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms[J].Acta Physica Sinica,2015,64(6):64502-064502. |
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| Authors: | Sun Xian-Ting;Zhang Yao-Yu;Xue Xi-Chang;Jia Li-Qun |
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| Institution: | 1. School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China;2. School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms are studied. By introducing infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition and determining equations of the Mei symmetry for generalized Hamilton systems after adding additional terms are provided. By means of the structure equation satisfied by the gauge function, the Mei conserved quantity corresponding to the form invariance for the system is derived. Finally an illustrative example is given to verify the results. |
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| Keywords: | additional term generalized Hamiltonian system form invariance Mei conserved quantity |
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