A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

doi:10.1088/1674-1056/17/2/007

中国物理B ›› 2008, Vol. 17 ›› Issue (2): 394-398.doi: 10.1088/1674-1056/17/2/007

A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

张小妮, 方建会, 庞婷, 蔺鹏

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

收稿日期:2007-04-12 修回日期:2007-05-18 出版日期:2008-02-20 发布日期:2008-02-20

A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

Zhang Xiao-Ni(张小妮), Fang Jian-Hui(方建会)^†,Pang Ting(庞婷), and Lin Peng(蔺鹏)

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

Received:2007-04-12 Revised:2007-05-18 Online:2008-02-20 Published:2008-02-20

摘要/Abstract

摘要： In this paper, a new type of conserved quantity induced directly from the Mei symmetry for a relativistic nonholonomic mechanical system in phase space is studied. The definition and the criterion of the Mei symmetry for the system are given. The conditions for the existence and form of the new conserved quantity are obtained. Finally, an example is given to illustrate the application of the result.

Abstract: In this paper, a new type of conserved quantity induced directly from the Mei symmetry for a relativistic nonholonomic mechanical system in phase space is studied. The definition and the criterion of the Mei symmetry for the system are given. The conditions for the existence and form of the new conserved quantity are obtained. Finally, an example is given to illustrate the application of the result.

Key words: relativity, phase space, Mei symmetry, new type of conserved quantity

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

45.05.+x

02.30.Jr (Partial differential equations)

张小妮, 方建会, 庞婷, 蔺鹏. A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space[J]. 中国物理B, 2008, 17(2): 394-398.

Zhang Xiao-Ni(张小妮), Fang Jian-Hui(方建会),Pang Ting(庞婷), and Lin Peng(蔺鹏) . A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space[J]. Chin. Phys. B, 2008, 17(2): 394-398.

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A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

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