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Noether–Mei symmetry of discrete mechanico-electrical system |
Zhang Wei-Wei (张伟伟), Fang Jian-Hui (方建会 ) |
College of Science, China University of Petroleum, Qingdao 266580, China |
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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.
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Received: 05 January 2012
Revised: 18 June 2012
Accepted manuscript online:
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PACS:
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02.20.-a
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(Group theory)
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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45.05.+x
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(General theory of classical mechanics of discrete systems)
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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
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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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