Unified Symmetry of Hamilton Systems

作     者：XU Xue-Jun QIN Mao-Chang MEI Feng-Xiang 

作者机构：Department of Mechanics Beijing Institute of Technology Beijing 100081 China Department of Physics Zhejiang Normal University Jinhua 321004 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2005年第44卷第5X期

页      面：769-772页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：中国科学院资助项目 高等学校博士学科点专项科研项目 

主　　题：Hamilton system unified symmetry conserved quantity 

摘      要：The definition and the criterion of a unified symmetry for a Hamilton system are presented. The sufficient condition under which the Noether symmetry is a unified symmetry for the system is given. A new conserved quantity,as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is finally given to illustrate the application of the results.