New conserved quantities of Noether--Mei symmetry of mechanical system in phase space
Fang Jian-Hui(方建会)a)†, Liu Yang-Kui(刘仰魁)b), and Zhang Xiao-Ni(张小妮)a)
aCollege of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; bCollege of Physics and Electronic Engineering, Longdong University, Qingyang 745000, China
Abstract This paper studies two new types of conserved quantities deduced by Noether--Mei symmetry of mechanical system in phase space. The definition and criterion of Noether--Mei symmetry for the system are given. A coordination function is introduced, and the conditions under which the Noether--Mei symmetry leads to the two types of conserved quantities and the forms of the two types of conserved quantities are obtained. An illustrative example is given. The coordination function can be selected according to the demand for finding the gauge function, and the choice of the coordination function has multiformity, so more conserved quantities deduced from Noether--Mei symmetry of mechanical system can be obtained.
Received: 30 September 2007
Revised: 22 October 2007
Accepted manuscript online:
Fang Jian-Hui(方建会), Liu Yang-Kui(刘仰魁), and Zhang Xiao-Ni(张小妮) New conserved quantities of Noether--Mei symmetry of mechanical system in phase space 2008 Chin. Phys. B 17 1962
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