| 完整力学系统的统一对称性 |
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| 引用本文： | 许学军,秦茂昌,梅凤翔. 完整力学系统的统一对称性[J]. 中国物理, 2005, 14(7): 1287-1289 |
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| 作者姓名： | 许学军 秦茂昌 梅凤翔 |
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| 作者单位： | Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022) |
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| 摘 要： | 函数对时间的全导数采用沿系统的运动轨线的方式, 建立了完整力学系统的统一对称性的定义和判据. 得到了由统一对称性导致的Noether守恒量、Hojman守恒量和新型守恒量. 举例说明结果的应用.
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| 关 键 词： | 完整力学系统 统一对称性 守恒量 |
| 收稿时间： | 2004-12-28 |
Unified symmetry of holonomic mechanical systems |
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| Xu Xue-Jun,Qin Mao-Chang and Mei Feng-Xiang. Unified symmetry of holonomic mechanical systems[J]. Chinese Physics, 2005, 14(7): 1287-1289 |
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| Authors: | Xu Xue-Jun Qin Mao-Chang Mei Feng-Xiang |
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| Affiliation: | Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China; Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | The definition and the criterion of a unified symmetry for a holonomic mechanical system are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced fromthe unified symmetry, is obtained. An example is given to illustrate the application of the results. |
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| Keywords: | holonomic mechanical system unified symmetry conserved quantity |
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