A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system

doi:10.1088/1674-1056/21/8/080201

Abstract A type of structural equation and conserved quantity which are directly induced by Mei symmetry of Nielsen equations for a holonomic system are studied. Under the infinitesimal transformation of groups, from the definition and the criterion of Mei symmetry, a type of structural equation and conserved quantity for the system by proposition 2 are obtained, and the inferences in two special cases are given. Finally, an example is given to illustrate the application of the results.

Keywords: Nielsen equation Mei symmetry structural equation conserved quantity

Received: 05 January 2012
Revised: 12 January 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: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).

Corresponding Authors: Jia Li-Qun
E-mail: jlq0000@163.com

Cite this article:

Cui Jin-Chao (崔金超), Han Yue-Lin (韩月林), Jia Li-Qun (贾利群 ) A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system 2012 Chin. Phys. B 21 080201

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A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system

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