Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

doi:10.1088/1674-1056/21/5/050202

Abstract In this paper, we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented. The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given. Meanwhile, an example is discussed to illustrate the application of the results. The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly.

Keywords: Lie symmetry Mei conserved quantity nonconservative Hamilton system

Received: 27 November 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	11.30.-j	(Symmetry and conservation laws)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)

Fund: Projct supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012) and the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A).

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Fang Jian-Hui(方建会), Zhang Bin(张斌), Zhang Wei-Wei(张伟伟), and Xu Rui-Li(徐瑞莉) Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system 2012 Chin. Phys. B 21 050202

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Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

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