Symmetry of Lagrangians of holonomic nonconservative system in event space

doi:10.1088/1674-1056/21/7/070208

Abstract This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result in the end.

Keywords: symmetry of Lagrangians event space holonomic nonconservative system conserved quantity

Received: 20 December 2011
Revised: 10 January 2012
Accepted manuscript online:

PACS:	02.40.-k	(Geometry, differential geometry, and topology)
	11.30.-j	(Symmetry and conservation laws)
	11.10.Ef	(Lagrangian and Hamiltonian approach)

Fund: Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012), and the Postgraduate's Innovation Foundation of China University of Petroleum (East China) (Grant No. CXYB11-12).

Corresponding Authors: Fang Jian-Hui
E-mail: fangjh@upc.edu.cn

Cite this article:

Zhang Bin(张斌), Fang Jian-Hui(方建会), and Zhang Wei-Wei(张伟伟) Symmetry of Lagrangians of holonomic nonconservative system in event space 2012 Chin. Phys. B 21 070208

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Symmetry of Lagrangians of holonomic nonconservative system in event space

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