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.
Received: 12 April 2007
Revised: 18 May 2007
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
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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