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Chin. Phys. B, 2008, Vol. 17(2): 394-398    DOI: 10.1088/1674-1056/17/2/007
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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
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.
Keywords:  relativity      phase space      Mei symmetry      new type of conserved quantity  
Received:  12 April 2007      Revised:  18 May 2007      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.30.Jr (Partial differential equations)  

Cite this article: 

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 2008 Chin. Phys. B 17 394

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