中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2154-2158.doi: 10.1088/1009-1963/16/8/002

• GENERAL • 上一篇    下一篇

Unified symmetry of Vacco dynamical systems

李元成, 荆宏星, 夏丽莉, 王静, 后其宝   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2006-11-29 修回日期:2007-01-11 出版日期:2007-08-20 发布日期:2007-08-20

Unified symmetry of Vacco dynamical systems

Li Yuan-Cheng(李元成), Jing Hong-Xing(荆宏星), Xia Li-Li(夏丽莉), Wang Jing(王静), and Hou Qi-Bao(后其宝)   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2006-11-29 Revised:2007-01-11 Online:2007-08-20 Published:2007-08-20

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摘要： Based on the total time derivative along the trajectory of the time, we study the unified symmetry of Vacco dynamical systems. The definition and the criterion of the unified symmetry for the system are given. Three kinds of conserved quantities, i.e. the Noether conserved quantity, the generalized Hojman conserved quantity and the Mei conserved quantity, are deduced from the unified symmetry. An example is presented to illustrate the results.

Abstract: Based on the total time derivative along the trajectory of the time, we study the unified symmetry of Vacco dynamical systems. The definition and the criterion of the unified symmetry for the system are given. Three kinds of conserved quantities, i.e. the Noether conserved quantity, the generalized Hojman conserved quantity and the Mei conserved quantity, are deduced from the unified symmetry. An example is presented to illustrate the results.

Key words: Vacco dynamical system, unified symmetry, conserved quantity

中图分类号:  (Dynamics and kinematics of a particle and a system of particles)

  • 45.50.-j
02.20.Sv (Lie algebras of Lie groups)