A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

doi:10.1088/1674-1056/21/12/120201

Abstract A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints are investigated. Nielsen equations and differential equations of motion for the holonomic mechanical system with unilateral constraints are established. The definition and the criterion of Mei symmetry for Nielsen equations in the holonomic systems with unilateral constraints under the infinitesimal transformations of Lie group are also given. The expressions of the structural equation and a type of new conserved quantity of Mei symmetry for Nielsen equations in the holonomic system with unilateral constraints are obtained. An example is given to illustrate the application of the results.

Keywords: holonomic system with unilateral constraints Nielsen equation structural equation new type of conserved quantity

Received: 01 March 2012
Revised: 12 May 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) and the Scientific Research and Innovation Plan for Colleage Graduates of Jiangsu Province of China (Grant No. CSLX12_0720).

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

Cite this article:

Han Yue-Lin (韩月林), Sun Xian-Ting (孙现亭), Wang Xiao-Xiao (王肖肖), Zhang Mei-Ling (张美玲), Jia Li-Qun (贾利群) A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints 2012 Chin. Phys. B 21 120201

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A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

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