中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1672-1677.doi: 10.1088/1009-1963/15/8/005

• GENERAL • 上一篇    下一篇

Three-order form invariance and conserved quantity

杨学慧, 马善钧   

  1. College of Physics and Communication Electronics, Jiang Xi Normal University, Nanchang 330022, China
  • 收稿日期:2006-03-09 修回日期:2006-03-24 出版日期:2006-08-20 发布日期:2006-08-20

Three-order form invariance and conserved quantity

Yang Xue-Hui(杨学慧) and Ma Shan-Jun(马善钧)†   

  1. College of Physics and Communication Electronics, Jiang Xi Normal University, Nanchang 330022, China
  • Received:2006-03-09 Revised:2006-03-24 Online:2006-08-20 Published:2006-08-20

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摘要： In this paper, the definition of three-order form invariance is given. Then the relation between the three-order form invariance and the three-order Lie symmetry is discussed and the sufficient and necessary condition of Lie symmetry, which comes from the three-order form invariance, is obtained. Finally a three-order Hojman conserved quantity is studied and an example is given to illustrate the application of the obtained results.

Abstract: In this paper, the definition of three-order form invariance is given. Then the relation between the three-order form invariance and the three-order Lie symmetry is discussed and the sufficient and necessary condition of Lie symmetry, which comes from the three-order form invariance, is obtained. Finally a three-order Hojman conserved quantity is studied and an example is given to illustrate the application of the obtained results.

Key words: three-order form invariance, Hojman conserved quantity, three-order Lie symmetry

中图分类号:  (Formalisms in classical mechanics)

  • 45.20.-d
02.30.Jr (Partial differential equations)