Study of the Lie symmetries of a relativistic variable mass system

doi:10.1088/1009-1963/11/4/301

中国物理B ›› 2002, Vol. 11 ›› Issue (4): 313-318.doi: 10.1088/1009-1963/11/4/301

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Study of the Lie symmetries of a relativistic variable mass system

方建会

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

收稿日期:2001-09-17 修回日期:2001-11-28 出版日期:2005-06-13 发布日期:2005-06-13

Study of the Lie symmetries of a relativistic variable mass system

Fang Jian-Hui (方建会)

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

Received:2001-09-17 Revised:2001-11-28 Online:2005-06-13 Published:2005-06-13

摘要/Abstract

摘要： The differential equations of motion of a relativistic variable mass system are given. By using the invariance of the differential equations under the infinitesimal transformations of groups, the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built, and the structure equation and the conserved quantity of the Lie symmetries are obtained. Then the inverse problem of the Lie symmetries is studied. The corresponding Lie symmetries are found according to a known conserved quantity. An example is given to illustrate the application of the result.

Abstract: The differential equations of motion of a relativistic variable mass system are given. By using the invariance of the differential equations under the infinitesimal transformations of groups, the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built, and the structure equation and the conserved quantity of the Lie symmetries are obtained. Then the inverse problem of the Lie symmetries is studied. The corresponding Lie symmetries are found according to a known conserved quantity. An example is given to illustrate the application of the result.

Key words: relativity, analytical mechanics, variable mass, Lie symmetries, conserved quantity

中图分类号: (Linear algebra)

02.10.Ud

45.10.-b (Computational methods in classical mechanics) 02.30.Zz (Inverse problems)

方建会. Study of the Lie symmetries of a relativistic variable mass system[J]. 中国物理B, 2002, 11(4): 313-318.

Fang Jian-Hui (方建会). Study of the Lie symmetries of a relativistic variable mass system[J]. Chinese Physics, 2002, 11(4): 313-318.

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Study of the Lie symmetries of a relativistic variable mass system

Study of the Lie symmetries of a relativistic variable mass system

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