中国物理B ›› 2004, Vol. 13 ›› Issue (10): 1620-1622.doi: 10.1088/1009-1963/13/10/007

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The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system

方建会1, 廖永潘2, 彭勇2   

  1. (1)College of Physics Science and Technology, University of Petroleum, Dongying 257061, China; (2)Department of Physics, Hexi College, Zhangye 734000, China
  • 收稿日期:2003-12-30 修回日期:2004-05-31 出版日期:2004-10-20 发布日期:2005-06-20

The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system

Fang Jian-Hui(方建会)a, Liao Yong-Pan (廖永潘)b, Peng Yong (彭勇)b   

  1. a College of Physics Science and Technology, University of Petroleum, Dongying 257061, China; b Department of Physics, Hexi College, Zhangye 734000, China
  • Received:2003-12-30 Revised:2004-05-31 Online:2004-10-20 Published:2005-06-20

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摘要： In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result.

关键词: Hamiltonian system, Lie symmetry, non-Noether conserved quantity

Abstract: In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result.

Key words: Hamiltonian system, Lie symmetry, non-Noether conserved quantity

中图分类号:  (Lie algebras of Lie groups)

  • 02.20.Sv
02.30.Jr (Partial differential equations)