中国物理B ›› 2005, Vol. 14 ›› Issue (3): 452-454.doi: 10.1088/1009-1963/14/3/002

• GENERAL • 上一篇    下一篇

Lie-form invariance of the Lagrange system

吴惠彬   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2004-08-20 修回日期:2004-10-18 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10272021).

Lie-form invariance of the Lagrange system

Wu Hui-Bin (吴惠彬)   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2004-08-20 Revised:2004-10-18 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10272021).

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摘要： In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.

Abstract: In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.

Key words: analytical mechanics, Lagrange system, symmetry, conserved quantity

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj