| Lagrange系统的Noether-Lie对称性 |
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| 引用本文： | 顾书龙,何龙庆.Lagrange系统的Noether-Lie对称性[J].安徽科技学院学报,2007,21(3):27-30. |
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| 作者姓名： | 顾书龙 何龙庆 |
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| 作者单位： | 南京晓庄学院,物理系,江苏,南京,210017;巢湖学院,科研处,安徽,巢湖,238000;南京晓庄学院,物理系,江苏,南京,210017 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 研究了Lagrange力学系统的一种新对称性:Noether-Lie对称性及其守恒量.给出了Lagrange系统的Noether-Lie对称性的定义和判据,提出Lagrange系统的Noether-Lie对称性导致的Noether守恒量和Hojman守恒量.最后给出一个例子说明结果的应用.
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| 关 键 词： | Lagrange系统 Noether-Lie对称性 Noether守恒量 Hojman守恒量 |
| 文章编号： | 1673-8772（2007）03-0027-04 |
| 收稿时间： | 2006-02-01 |
| 修稿时间： | 2006-02-01 |
Noether-Lie Symmetry of Lagrange Mechanical System |
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| GU Shu-long,HE Long-qing.Noether-Lie Symmetry of Lagrange Mechanical System[J].Journal of Anhui Science and Technology University,2007,21(3):27-30. |
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| Authors: | GU Shu-long HE Long-qing |
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| Institution: | 1. Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China; 2. Department of Science and Technology, Chaohu College, Chaohu 238000, China |
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| Abstract: | In this paper,a new symmetry,i.e.,Noether-Lie symmetry and its conserved quantities of Lagrange mechanical system is studied.The definition and the criterion of the Noether-Lie symmetry for the system are given.A theorem asserting that the Noether-Lie symmetry for the system leads to both the Noether conserved quantity and the Hojman conserved quantity is presented.An example is finally given to illustrate the application of the result of this paper. |
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| Keywords: | Lagrange system Noether-Lie symmetry Noether conserved quantity Hojman conserved quantity |
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