| Noether——Lie symmetry and conserved quantities of mechanical system in phase space |
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| 引用本文： | 方建会,廖永潘,丁 宁,王 鹏.Noether——Lie symmetry and conserved quantities of mechanical system in phase space[J].中国物理 B,2006,15(12):2792-2795. |
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| 作者姓名： | 方建会 廖永潘 丁 宁 王 鹏 |
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| 作者单位： | (1)College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; (2)Department of Physics, Hexi University, Zhangye 734000, China |
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| 摘 要： | In this paper, a new kind of symmetry and its conserved quantities of a mechanical
system in phase space are studied. The definition of this new symmetry, i.e. a
Noether--Lie symmetry, is presented, and the criterion of this symmetry is also
given. The Noether conserved quantity and the generalized Hojman conserved quantity
of the Noether--Lie symmetry of the system are obtained. The Noether--Lie symmetry
contains the Noether symmetry and the Lie symmetry, and has more generalized
significance.
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| 关 键 词： | 机械系统 保有量 相空间 清晰度 |
| 收稿时间： | 2005-10-30 |
| 修稿时间： | 2005-10-302006-03-14 |
Noether--Lie symmetry and conserved quantities of mechanical system in phase space |
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| Fang Jian-Hui,Liao Yong-Pan,Ding Ning and Wang Peng.Noether--Lie symmetry and conserved quantities of mechanical system in phase space[J].Chinese Physics B,2006,15(12):2792-2795. |
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| Authors: | Fang Jian-Hui Liao Yong-Pan Ding Ning and Wang Peng |
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| Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; Department of Physics, Hexi University, Zhangye 734000, China |
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| Abstract: | In this paper, a new kind of symmetry and its conserved quantities of a mechanical
system in phase space are studied. The definition of this new symmetry, i.e. a
Noether--Lie symmetry, is presented, and the criterion of this symmetry is also
given. The Noether conserved quantity and the generalized Hojman conserved quantity
of the Noether--Lie symmetry of the system are obtained. The Noether--Lie symmetry
contains the Noether symmetry and the Lie symmetry, and has more generalized
significance. |
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| Keywords: | Noether--Lie symmetry mechanical system conserved quantity phase space |
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