A generalized Mei conserved quantity and Mei symmetry of Birkhoff system
Wang Peng(王鹏)a), Fang Jian-Hui(方建会)b), and Wang Xian-Ming(王先明)a)†
aSchool of Maths-Physics and Information Science, Xinjiang Normal University, Urumqi 830054, China; bCollege of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract This paper studies a new conserved quantity which can be called generalized Mei conserved quantity and directly deduced by Mei symmetry of Birkhoff system. The conditions under which the Mei symmetry can directly lead to generalized Mei conserved quantity and the form of generalized Mei conserved quantity are given. An example is given to illustrate the application of the results.
Received: 22 June 2008
Revised: 03 July 2008
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the Scientific
Research Fund for Outstanding Young Teachers (Grant No XJNU0817) and
Fund for Prior Development Subject of Xinjiang
Normal University and National Natural Science Foundation of China (Grant No 10864007).
Cite this article:
Wang Peng(王鹏), Fang Jian-Hui(方建会), and Wang Xian-Ming(王先明) A generalized Mei conserved quantity and Mei symmetry of Birkhoff system 2009 Chin. Phys. B 18 1312
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