| 相对论性转动变质量非完整可控力学系统的非Noether守恒量 |
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| 引用本文： | 夏丽莉,李元成,王显军. 相对论性转动变质量非完整可控力学系统的非Noether守恒量[J]. 物理学报, 2009, 58(1): 28-33 |
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| 作者姓名： | 夏丽莉 李元成 王显军 |
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| 作者单位： | (1)河南教育学院物理系,郑州 450014; (2)中国石油大学(华东)物理科学与技术学院,东营 257061 |
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| 基金项目： | 河南教育学院重点学科建设基金资助的课题. |
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| 摘 要： | 研究相对论性转动变质量非完整可控力学系统的非Noether守恒量——Hojman守恒量. 建立了系统的运动微分方程, 给出了系统在特殊无限小变换下的Mei对称性(形式不变性) 和Lie对称性的定义和判据, 以及系统的Mei对称性是Lie对称性的充分必要条件. 得到了系统Mei对称性导致非Noether守恒量的条件和具体形式. 举例说明结果的应用.关键词：相对论性转动可控力学系统变质量非Noether守恒量
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| 关 键 词： | 相对论性转动 可控力学系统 变质量 非Noether守恒量 |
| 收稿时间： | 2008-03-19 |
| 修稿时间： | 2008-06-06 |
Non-Noether conserved quantities for nonholonomic controllable mechanical systems with relativistic rotational variable mass |
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| Xia Li-Li,Li Yuan-Cheng,Wang Xian-Jun. Non-Noether conserved quantities for nonholonomic controllable mechanical systems with relativistic rotational variable mass[J]. Acta Physica Sinica, 2009, 58(1): 28-33 |
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| Authors: | Xia Li-Li Li Yuan-Cheng Wang Xian-Jun |
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| Abstract: | The non-Noether conserved quantities (the Hojman conserved quantity) for nonholonomic controllable mechanical systems with relativistic rotational variable mass are discussed. The differential equations of motion of the systems are established. The definition and criterion of the Mei symmetries and the Lie symmetries of the system are discussed respectively. The necessary and sufficient condition under which the Mei symmetry is Lie symmetry is presented. The condition under which a non-Noether conserved quantity can be induced by the Mei symmetries and the form of the conserved quantity are obtained. An example is presented to illustrate the application of the result. |
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| Keywords: | relativity rotation nonholonomic controllable mechanical system variable mass non-Noether conserved quantity |
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