Noether–Mei symmetry of discrete mechanico-electrical system

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

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110201-110201.doi: 10.1088/1674-1056/21/11/110201

• GENERAL • 下一篇

Noether–Mei symmetry of discrete mechanico-electrical system

张伟伟, 方建会

College of Science, China University of Petroleum, Qingdao 266580, China

收稿日期:2012-01-05 修回日期:2012-06-18 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2011AM012).

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

Received:2012-01-05 Revised:2012-06-18 Online:2012-10-01 Published:2012-10-01
Contact: Fang Jian-Hui E-mail:fangjh@upc.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2011AM012).

摘要/Abstract

摘要： 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.

关键词: discrete mechanico-electrical system, Noether-Mei symmetry, conserved quantity

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.

Key words: discrete mechanico-electrical system, Noether-Mei symmetry, conserved quantity

中图分类号: (Group theory)

02.20.-a

45.20.Jj (Lagrangian and Hamiltonian mechanics) 45.05.+x (General theory of classical mechanics of discrete systems)

张伟伟, 方建会 . Noether–Mei symmetry of discrete mechanico-electrical system[J]. 中国物理B, 2012, 21(11): 110201-110201.

Zhang Wei-Wei (张伟伟), Fang Jian-Hui (方建会 ). Noether–Mei symmetry of discrete mechanico-electrical system[J]. Chin. Phys. B, 2012, 21(11): 110201-110201.

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Noether–Mei symmetry of discrete mechanico-electrical system

Noether–Mei symmetry of discrete mechanico-electrical system

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