| 完整系统Appell方程的Lie-Mei对称性与守恒量 |
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| 引用本文： | 李元成,夏丽莉,王小明,刘晓巍.完整系统Appell方程的Lie-Mei对称性与守恒量[J].物理学报,2010,59(6):3639-3642. |
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| 作者姓名： | 李元成 夏丽莉 王小明 刘晓巍 |
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| 作者单位： | (1)河南教育学院物理系,郑州 450046; (2)中国石油大学(华东)物理科学与技术学院,青岛 266555 |
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| 摘 要： | 研究了完整系统Appell方程的Lie-Mei对称性与守恒量.在完整系统Appell方程的基础上,给出了Appell方程的Lie-Mei对称性的定义和判据,得到了Appell方程的Lie-Mei对称性导致的Hojman守恒量和Mei守恒量.举例说明结果的应用.
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| 关 键 词： | 完整系统 Appell方程 Lie-Mei对称性 守恒量 |
| 收稿时间： | 2009-08-27 |
Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system |
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| Li Yuan-Cheng,Xia Li-Li,Wang Xiao-Ming,Liu Xiao-Wei.Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system[J].Acta Physica Sinica,2010,59(6):3639-3642. |
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| Authors: | Li Yuan-Cheng Xia Li-Li Wang Xiao-Ming Liu Xiao-Wei |
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| Institution: | College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China;Department of Physics, Henan Institute of Education, Zhengzhou 450046, China;College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China;College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China |
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| Abstract: | The Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system are studied. On the basis of the Appell equation, we first obtain the Lie symmetry and the Mei symmetry for the equation and the conserved quantities deduced from them, then the definition and the criterion for Lie-Mei symmetry of Appell equation are presented. Lastly, the Mei conserved quantity and the Hojman conserved quantity are deduced from the Lie-Mei symmetry. An example is given to illustrate the application of the result. |
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| Keywords: | holonomic mechanical system Appell equation Lie-Mei symmetry conserved quantity |
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