Noether–Mei symmetry of discrete mechanico-electrical system

doi:10.1088/1674-1056/21/11/110201

Abstract Noether-Mei symmetry of discrete mechanico-electrical system on a regular lattice is investigated. Firstly, the Noether symmetry of discrete mechanico-electrical system is reviewed, and the motion equations and energy equations are derived. Secondly, the definition of Noether-Mei symmetry for the system is presented, and the criterion is derived. Thirdly, conserved quantities induced by Noether-Mei symmetry with their existence conditions are obtained. Finally, an example is discussed to illustrate the results.

Keywords: discrete mechanico-electrical system Noether-Mei symmetry conserved quantity

Received: 05 January 2012
Revised: 18 June 2012
Accepted manuscript online:

PACS:	02.20.-a	(Group theory)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	45.05.+x	(General theory of classical mechanics of discrete systems)

Fund: Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2011AM012).

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

Cite this article:

Zhang Wei-Wei (张伟伟), Fang Jian-Hui (方建会 ) Noether–Mei symmetry of discrete mechanico-electrical system 2012 Chin. Phys. B 21 110201

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