Conformal invariance and conserved quantity of Hamilton systems

作     者：蔡建乐 罗绍凯 梅凤翔 

作者机构：College of ScienceHangzhou Normal University College of ScienceBeijing Institute of Technology Institute of Mathematical Mechanics and Mathematical PhysicsZhejiang Sci-Tech University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2008年第17卷第9期

页      面：3170-3174页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025) the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022) 

主　　题：Hamilton system conformal invariance determining equation conserved quantity 

摘      要：This paper studies conformal invariance and conserved quantities of Hamilton system. The definition and the determining equation of conformal invariance for Hamilton system are provided. The relationship between the conformal invariance and the Lie symmetry are discussed, and the necessary and sufficient condition that the conformal invariance would be the Lie symmetry of the system under the infinitesimal one-parameter transformation group is deduced. It gives the conserved quantities of the system and an example for illustration.