Noether's theorem of a rotational relativistic variable mass system

doi:10.1088/1009-1963/11/5/307

中国物理B ›› 2002, Vol. 11 ›› Issue (5): 445-449.doi: 10.1088/1009-1963/11/5/307

Noether's theorem of a rotational relativistic variable mass system

方建会, 赵嵩卿

Department of Applied Physics, University of Petroleum, Dongying 257061, China

收稿日期:2001-11-19 修回日期:2001-12-10 出版日期:2005-06-13 发布日期:2005-06-13

Noether's theorem of a rotational relativistic variable mass system

Fang Jian-Hui (方建会), Zhao Song-Qing (赵嵩卿)

Department of Applied Physics, University of Petroleum, Dongying 257061, China

Received:2001-11-19 Revised:2001-12-10 Online:2005-06-13 Published:2005-06-13

摘要/Abstract

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.

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.

Key words: relativity, analytical mechanics, rotational variable mass system, Noether's theorem

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

03.30.+p (Special relativity)

方建会, 赵嵩卿. Noether's theorem of a rotational relativistic variable mass system[J]. 中国物理B, 2002, 11(5): 445-449.

Fang Jian-Hui (方建会), Zhao Song-Qing (赵嵩卿). Noether's theorem of a rotational relativistic variable mass system[J]. Chinese Physics, 2002, 11(5): 445-449.

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Noether's theorem of a rotational relativistic variable mass system

Noether's theorem of a rotational relativistic variable mass system

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