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   

  1. 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 )   

  1. 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: 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)