Conformal invariance and conserved quantities of Appell 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》2010年第9期100-105,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：In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system＇s conformal invariance and Mei symmetry are discussed. And Appell system＇s conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system＇s conformal invariance and Mei symmetry are discussed. And Appell system＇s conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities 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 Appell system 

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