中国物理B ›› 2007, Vol. 16 ›› Issue (4): 887-890.doi: 10.1088/1009-1963/16/4/002

• GENERAL • 上一篇    下一篇

A new type of conserved quantity of Mei symmetry for Lagrange system

方建会, 丁宁, 王鹏   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2006-06-23 修回日期:2006-08-19 出版日期:2007-04-20 发布日期:2007-04-20

A new type of conserved quantity of Mei symmetry for Lagrange system

Fang Jian-Hui(方建会), Ding Ning(丁宁), and Wang Peng(王鹏)   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2006-06-23 Revised:2006-08-19 Online:2007-04-20 Published:2007-04-20

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摘要： This paper studies a new type of conserved quantity which is directly induced by Mei symmetry of the Lagrange system. Firstly, the definition and criterion of Mei symmetry for the Lagrange system are given. Secondly, a coordination function is introduced, and the conditions of existence of the new conserved quantity as well as its forms are proposed. Lastly, an illustrated example is given. The result indicates that the coordination function can be selected properly according to the demand for finding the gauge function, and thereby the gauge function can be found more easily. Furthermore, since the choice of the coordination function has multiformity, many more conserved quantities of Mei symmetry for the Lagrange system can be obtained.

Abstract: This paper studies a new type of conserved quantity which is directly induced by Mei symmetry of the Lagrange system. Firstly, the definition and criterion of Mei symmetry for the Lagrange system are given. Secondly, a coordination function is introduced, and the conditions of existence of the new conserved quantity as well as its forms are proposed. Lastly, an illustrated example is given. The result indicates that the coordination function can be selected properly according to the demand for finding the gauge function, and thereby the gauge function can be found more easily. Furthermore, since the choice of the coordination function has multiformity, many more conserved quantities of Mei symmetry for the Lagrange system can be obtained.

Key words: Lagrange system, Mei symmetry, new conserved quantity

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj