Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry  

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》2011年第2期196-200,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11072218);the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337)

摘　　要：This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system＇s conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invaxiance, which are simultaneously of second-class symmetry, are given. And Birkhoff system＇s conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system＇s conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invaxiance, which are simultaneously of second-class symmetry, are given. And Birkhoff system＇s conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.

关 键 词：second-class Mei symmetry conformal invariance conserved quantity Birkhoff system 

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