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Chinese Physics, 2007, Vol. 16(8): 2154-2158    DOI: 10.1088/1009-1963/16/8/002
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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)
College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
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.
Keywords:  Vacco dynamical system      unified symmetry      conserved quantity  
Received:  29 November 2006      Revised:  11 January 2007      Accepted manuscript online: 
PACS:  45.50.-j (Dynamics and kinematics of a particle and a system of particles)  
  02.20.Sv (Lie algebras of Lie groups)  

Cite this article: 

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) Unified symmetry of Vacco dynamical systems 2007 Chinese Physics 16 2154

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