| Noether‘s theorem of a rotational relativistic variable mass system |
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| 引用本文： | 方建会,赵嵩卿. Noether‘s theorem of a rotational relativistic variable mass system[J]. 中国物理, 2002, 11(5): 445-449. DOI: 10.1088/1009-1963/11/5/307 |
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| 作者姓名： | 方建会 赵嵩卿 |
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| 作者单位： | Department of Applied Physics, University of Petroleum, Dongying 257061, China |
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| 摘 要： | Noether‘s theory of a rotational relativistic variable mass system is studied.Firstly,Jourdain‘s principle of the rotational relativistic variable mass system is given.Secondly,on the basis of the invariance of the Jourdain‘s principle under the infinitesimal transformations of groups,Noether‘s theorem and its inverse theorem of the rotational relativistic variable mass system are presented.Finally,an example is given to illustrate the application of the result.
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| 关 键 词： | 解析力学 旋转相对论不变质量系统 Noether‘s理论 |
| 收稿时间： | 2001-11-19 |
Noether's theorem of a rotational relativistic variable mass system |
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| Fang Jian-Hui and Zhao Song-Qing. Noether's theorem of a rotational relativistic variable mass system[J]. Chinese Physics, 2002, 11(5): 445-449. DOI: 10.1088/1009-1963/11/5/307 |
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| Authors: | Fang Jian-Hui and Zhao Song-Qing |
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| Affiliation: | Department of Applied Physics, University of Petroleum, Dongying 257061, China |
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| Abstract: | Noether's theory of a rotational relativistic variable mass system is studied. Firstly, Jourdain's principle of the rotational relativistic variable mass system is given. Secondly, on the basis of the invariance of the Jourdain's principle under the infinitesimal transformations of groups, Noether's theorem and its inverse theorem of the rotational relativistic variable mass system are presented. Finally, an example is given to illustrate the application of the result. |
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| Keywords: | relativity analytical mechanics rotational variable mass system Noether's theorem |
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