| Canonical symmetry properties of the constrained singular generalized mechanical system |
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| 作者姓名： | 李爱民 江金环 李子平 |
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| 作者单位： | College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China;College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China;College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China |
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| 摘 要： | Based on generalized Apell－Chetaev constraint conditions and to take the inherent constrains for singular Lagrangian into account, the generalized canonical equations for a general mechanical system with a singular higher-order Lagrangian and subsidiary constrains are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem and its inversion theorem in the generalized canonical formalism have been established.
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| 关 键 词： | 通用机械系统 奇异拉格朗日算子 规范性 对称性 诺特定理 Noether定理 动力学 |
| 收稿时间： | 2003-01-24 |
Canonical symmetry properties of the constrained singular generalized mechanical system |
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| Li Ai-Min,Jiang Jin-Huan and Li Zi-Ping.Canonical symmetry properties of the constrained singular generalized mechanical system[J].Chinese Physics B,2003,12(5):467-471. |
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| Authors: | Li Ai-Min Jiang Jin-Huan and Li Zi-Ping |
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| Institution: | College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China |
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| Abstract: | Based on generalized Apell－Chetaev constraint conditions and to take the inherent constrains for singular Lagrangian into account, the generalized canonical equations for a general mechanical system with a singular higher-order Lagrangian and subsidiary constrains are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem and its inversion theorem in the generalized canonical formalism have been established. |
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| Keywords: | generalized mechanics subsidiary constraints singular Lagrangian canonical Noether theorem |
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