| Rosenberg问题的Noether-Lie对称性与守恒量 |
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| 引用本文： | 刘晓巍,李元成.Rosenberg问题的Noether-Lie对称性与守恒量[J].物理学报,2011,60(7):70201-070201. |
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| 作者姓名： | 刘晓巍 李元成 |
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| 作者单位： | 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Rosenberg问题的对称性与守恒量.给出Rosenberg问题的Noether-Lie对称性的定义和判据,以及由Noether-Lie对称性导出Noether守恒量和Hojman守恒量.
关键词：
非完整系统
Noether-Lie对称性
守恒量
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| 关 键 词： | 非完整系统 Noether-Lie对称性 守恒量 |
| 收稿时间： | 2010-10-08 |
Noether-Lie symmetry and conserved quantities of the Rosenberg problem |
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| Liu Xiao-Wei and Li Yuan-Cheng.Noether-Lie symmetry and conserved quantities of the Rosenberg problem[J].Acta Physica Sinica,2011,60(7):70201-070201. |
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| Authors: | Liu Xiao-Wei and Li Yuan-Cheng |
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| Institution: | 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 Noether-Lie symmetry and conserved quantities of the Rosenberg problem are studied. From the study of the Rosenberg problem,the Noether symmetry and the Lie symmetry for the equation are obtained, thereby the conserved quantities are deduced. Then the definition and the criterion for Noether-Lie symmetry of the Rosenberg problem are derived. Finally,the Noether conserved quantity and the Hojman conserved quantity are deduced from the Noether-Lie symmetry. |
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| Keywords: | nonholonomic systems Noether-Lie symmetry conserved quantity |
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