| 非保守系统广义Raitzin正则方程的形式不变性与非Noether守恒量 |
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| 引用本文： | 乔永芬,赵淑红.非保守系统广义Raitzin正则方程的形式不变性与非Noether守恒量[J].物理学报,2006,55(2):499-503. |
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| 作者姓名： | 乔永芬 赵淑红 |
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| 作者单位： | (1)东北农业大学工程学院，哈尔滨 150030; (2)浙江理工大学机械工程与自动化系，杭州 310018;东北农业大学工程学院，哈尔滨 150030 |
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| 摘 要： | 研究非保守系统广义Raitzin正则方程的形式不变性与非Noether守恒量.列出系统的Raitzin正则方程.提出在无限小变换下系统形式不变性的定义和判据.给出系统的形式不变性是Lie对称性的充要条件.建立Hojman守恒定理，并举例说明结果的应用.
关键词：
非保守系统
Raitzin正则方程
形式不变性
非Noether守恒量
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| 关 键 词： | 非保守系统 Raitzin正则方程 形式不变性 非Noether守恒量 |
| 文章编号： | 1000-3290/2006/55(02)/0499-05 |
| 收稿时间： | 03 30 2005 12:00AM |
| 修稿时间： | 2005-03-302005-05-26 |
Form invariance and non-Noether conserved quantity of generalized Raitzin's canonical equations of non-conservative system |
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| Qiao Yong-Fen,Zhao Shu-Hong.Form invariance and non-Noether conserved quantity of generalized Raitzin''''s canonical equations of non-conservative system[J].Acta Physica Sinica,2006,55(2):499-503. |
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| Authors: | Qiao Yong-Fen Zhao Shu-Hong |
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| Institution: | 1. Department of Mechanical Enginering and Automation, Zhefiang Sei- Teeh University, Hangzhou 310018, China;2 . Engineering College of Northeast Agricultural University, Harbin 150030, China |
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| Abstract: | The form invariance and the non-Noether conserved quantity of generalized Raitzin's canonical equations of non-conservative system are studied. The definition and criterion of the form invariance in the system under infinitesimal transformations are proposed. The necessary and sufficient condition under which the form invariance is a Lie symmetry is given. The Hojman theorem is established. Finally, an example is given to illustrate the application of the result. |
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| Keywords: | non-conservative system Raitzin's canonical equation form invariance non-Noether conserved quantity |
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