Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates  

作　　者：罗一平 傅景礼 

机构地区：[1]Department of Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2010年第9期94-99,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055)

摘　　要：We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result.We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result.

关 键 词：quasi-coordinates conformal invariance conformal factor conserved quantity 

分 类 号：O316[理学—一般力学与力学基础] O174.51[理学—力学]