| 机电系统的Lie-Mei对称性 |
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| 引用本文： | 刘晓巍,李元成.机电系统的Lie-Mei对称性[J].苏州科技学院学报(自然科学版),2011,28(2):14-18. |
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| 作者姓名： | 刘晓巍 李元成 |
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| 作者单位： | 中国石油大学(华东)物理科学与技术学院,山东,青岛,266555 |
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| 摘 要： | 研究机电系统的Lie-Mei对称性。由系统的Lagrange-Maxwell方程,给出系统的Lie-Mei对称性的定义和判据,得到了系统的Lie-Mei对称性直接导致的Hojman守恒量和Mei守恒量以及间接导致的Noether守恒量。举例说明结果的应用。
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| 关 键 词： | 机电系统 Lie-Mei对称性 守恒量 |
Lie-Mei symmetry of mechanical and electrical systems |
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| LIU Xiaowei,LI Yuancheng.Lie-Mei symmetry of mechanical and electrical systems[J].Journal of University of Science and Technology of Suzhou,2011,28(2):14-18. |
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| Authors: | LIU Xiaowei LI Yuancheng |
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| Institution: | LIU Xiaowei,LI Yuancheng (College of Physics Science and Technology,China University of Petroleum,Qingdao 266555,China) |
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| Abstract: | The Lie-Mei symmetry of mechanical and electrical systems is studied.The definition and criterion of Lie-Mei symmetry are derived from the Lagrange-Maxwell equations.We have obtained the Hojman conserved quantity and Mei conserved quantity deduced directly and the Noether conserved quantity deduced indirectly from the Lie-Mei symmetry.Finally,an example is given to illustrate the application of the results. |
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| Keywords: | mechanical and electrical systems Lie-Mei symmetry conserved quantity |
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