Lie Symmetrical Non-Noether Conserved Quantity of Mechanical System in Phase Space

In this paper, we study the Lie symmetrical non-Noether conserved quantity of the differential equations ofmotion of mechanical system in phase space under the general infinitesimal transformations of groups. Firstly, we givethe determining equations of the Lie symmetry of the system. Secondly, the non-Noether conserved quantity of the Liesymmetry is derived. Finally, an example is given to illustrate the application of the result.

作 者： FANG Jian-Hui PENG Yong Liao Yong-Pan LI Hong   作者單位： FANG Jian-Hui,LI Hong(College of Physics Science and Technology, University of Petroleum, Dongying 257061, China)

PENG Yong,Liao Yong-Pan(Department of Physics, Hexi University, Zhangye 734000, China) 

刊 名： 理論物理通訊(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 42(9)  分類號：   關鍵詞： Lie symmetry   non-Noether conserved quantity   phase space  

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