相对运动完整系统Appell方程Mei对称性的共形不变性与守恒量  

Conformal invariance and conserved quantity of Mei symmetry for Appell equation in a holonomic system in relative motion

作　　者：张芳[1] 张耀宇[1] 薛喜昌[1] 贾利群[2] 

机构地区：[1]平顶山学院电气信息工程学院,平顶山467002 [2]江南大学理学院,无锡214122

出　　处：《物理学报》2015年第13期206-211,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11142014)资助的课题~~

摘　　要：研究相对运动完整系统Appell方程Mei对称性的共形不变性与守恒量.引入无限小单参数变换群及其生成元向量,给出相对运动完整系统Appell方程的Mei对称性和共形不变性的定义,导出系统Mei对称性的共形不变性确定方程,重点讨论系统共形不变性和Mei对称性的关系,然后借助规范函数满足的结构方程导出系统Mei对称性导致的Mei守恒量表达式,最后举例说明结果的应用.For a holonomic system in relative motion, the conformal invariance and the conserved quantity of Mei symmetry with Appell equations are investigated. First, by using the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the definitions of Mei symmetry and the conformal invariance with Appell equations in a holonomic system in relative motion are given, and the determining equations of the conformal invariance of Mei symmetry for the system are derived. Relationship between the conformal invariance and Mei symmetry for the system is mainly studied. Then, by means of the structural equation which the gauge function satisfies, the expression of Mei conserved quantity deduced from Mei symmetry for the system is obtained. Finally, an example is given to illustrate the application of the result.

关 键 词：相对运动 完整系统 APPELL方程 共形不变性 

分 类 号：O175[理学—数学]