| Chetaev型约束力学系统Appell方程的Lie对称性与守恒量 |
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| 引用本文： | 贾利群,崔金超,张耀宇,罗绍凯.Chetaev型约束力学系统Appell方程的Lie对称性与守恒量[J].物理学报,2009,58(1):16-21. |
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| 作者姓名： | 贾利群 崔金超 张耀宇 罗绍凯 |
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| 作者单位： | (1)江南大学理学院,无锡 214122; (2)平顶山学院电气信息工程学院,平顶山 467002; (3)浙江理工大学数学力学与数学物理研究所,杭州 310018 |
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| 基金项目： | 国家自然科学基金(批准号：10572021)和江南大学预研基金(批准号：2008LYY011)资助的课题. |
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| 摘 要： | 研究Chetaev型约束力学系统Appell方程的Lie对称性和Lie对称性直接导致的守恒量.分析Lagrange函数和A函数的关系;讨论Chetaev型约束力学系统Appell方程的Lie对称性导致的守恒量的一般研究方法;在群的无限小变换下,给出Appell方程Lie对称性的定义和判据;得到Lie对称性的结构方程以及Lie对称性直接导致的守恒量的表达式.举例说明结果的应用.
关键词：
Appell方程
Chetaev 型约束力学系统
Lie对称性
守恒量
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| 关 键 词： | Appell方程 Chetaev 型约束力学系统 Lie对称性 守恒量 |
| 收稿时间： | 2007-10-20 |
Lie symmetry and conserved quantity of Appell equation for a Chetaev's type constrained mechanical system |
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| Jia Li-Qun,Cui Jin-Chao,Zhang Yao-Yu,Luo Shao-Kai.Lie symmetry and conserved quantity of Appell equation for a Chetaev's type constrained mechanical system[J].Acta Physica Sinica,2009,58(1):16-21. |
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| Authors: | Jia Li-Qun Cui Jin-Chao Zhang Yao-Yu Luo Shao-Kai |
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| Abstract: | Lie symmetry of Appell equation and conserved quantity deduced directly by Lie symmetry for a Chetaev's type constrained mechanical system are investigated. The relations between Lagrange function and A function are analyzed. A general approach of studying conserved quantity deduced by Lie symmetry of Appell equation for a Chetaev's type constrained mechanical system is discussed. The definition and the criterion of Lie symmetry of Appell equations under the infinitesimal transformations of groups are given. The structural equation of Lie symmetry and the expression of conserved quantity deduced directly by Lie symmetry are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | Appell equation Chetaev's type constrained mechanical system Lie symmetry conserved quantity |
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