| 广义Raitzin正则方程的Hojman守恒定理 |
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| 引用本文： | 乔永芬,李仁杰,赵淑红.广义Raitzin正则方程的Hojman守恒定理[J].中国物理 B,2005,14(5):882-887. |
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| 作者姓名： | 乔永芬 李仁杰 赵淑红 |
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| 作者单位： | Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, China; Faculty of Science Laiyang Agricultural College, 265200,China; Engineering College of Northeast Agricultural University, Harbin 150030, China;Faculty of Science Laiyang Agricultural College, 265200,China;Engineering College of Northeast Agricultural University, Harbin 150030, China |
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| 基金项目： | Project supported by the Heilongjiang Natural Science Foundation of China (Grant No. 9507) |
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| 摘 要： | 利用时间不变的无限小变换下的Lie对称性，研究广义经典力学中Raitzin正则方程的Hojman 守恒定理。建立广义Raitzin正则方程。给出无限小变换下Lie对称性的确定方程。建立系统的Hojman守恒定理，并举例说明结果的应用。
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| 关 键 词： | 广义经典力学 Hojman守恒定理 Raitzin正则方程 Lie对称性 |
| 收稿时间： | 2004-05-26 |
Hojman's conservation theorems for generalized Raitzin canonical equations of motion |
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| Qiao Yong-Fen,Li Ren-Jie and Zhao Shu-Hong.Hojman's conservation theorems for generalized Raitzin canonical equations of motion[J].Chinese Physics B,2005,14(5):882-887. |
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| Authors: | Qiao Yong-Fen Li Ren-Jie and Zhao Shu-Hong |
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| Institution: | Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, China; Faculty of Science Laiyang Agricultural College, 265200,China; Engineering College of Northeast Agricultural University, Harbin 150030, China; Engineering College of Northeast Agricultural University, Harbin 150030, China; Faculty of Science Laiyang Agricultural College, 265200,China |
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| Abstract: | Using the Lie symmetry under infinitesimal transformations in which the time is not variable, Hojman’s conservation theorems for Raitzin’s canonical equations of motion in generalized classical mechanics are studied. The generalized Raitzin’s canonical equations of motion are established. The determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman’s conservation theorems of the system are established. Finally, an example is also presented to illustrate the application of the result. |
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| Keywords: | generalized classical mechanics Hojman’s conservation theorem Raitzin’s canonical equation Lie symmetry |
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