| 相对运动动力学系统Appell方程Mei对称性导致的Mei守恒量 |
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| 引用本文： | 贾利群,解银丽,罗绍凯. 相对运动动力学系统Appell方程Mei对称性导致的Mei守恒量[J]. 物理学报, 2011, 60(4): 40201-040201 |
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| 作者姓名： | 贾利群 解银丽 罗绍凯 |
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| 作者单位： | (1)江南大学理学院,无锡 214122; (2)浙江理工大学数学力学与数学物理研究所,杭州 310018 |
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| 摘 要： | 研究相对运动动力学系统Appell方程的Mei对称性及其直接导致的Mei守恒量.在群的无限小变换下,给出相对运动动力学系统Appell方程Mei对称性的定义和判据;得到相对运动动力学系统Appell方程Mei对称性的结构方程以及Mei对称性直接导致的Mei守恒量的表达式.举例说明结果的应用.关键词：相对运动动力学Appell方程Mei对称性Mei守恒量
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| 关 键 词： | 相对运动动力学 Appell方程 Mei对称性 Mei守恒量 |
| 收稿时间： | 2010-06-29 |
Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion |
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| Jia Li-Qun,Xie Yin-Li,Luo Shao-Kai. Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion[J]. Acta Physica Sinica, 2011, 60(4): 40201-040201 |
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| Authors: | Jia Li-Qun Xie Yin-Li Luo Shao-Kai |
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| Affiliation: | School of Science Jiangnan University, Wuxi 214122, China;School of Science Jiangnan University, Wuxi 214122, China;Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University,Hangzhou 310018, China |
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| Abstract: | Mei symmetry and Mei conserved quantity deduced directly from Mei symmetry for Appell equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Mei symmetry of Appell equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Mei symmetry of Appell equations and Mei conserved quantity deduced directly from Mei symmetry in a dynamical system of the relative motion are gained. An example is given to illustrate the application of the results. |
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| Keywords: | dynamics of the relative motion Appell equation Mei symmetry Mei conserved quantity |
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