完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量  

Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system

作　　者：孙现亭[1] 张耀宇[1] 张芳[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》2014年第14期21-24,共4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：研究完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量.在时间不变的特殊无限小变换下,定义完整系统动力学方程的Lie对称性和共形不变性,给出该系统Lie对称性共形不变性的确定方程及系统的Hojman守恒量,并举例说明结果的应用.The conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system are studied. Under the special infinitesimal transformations in which the time is not variable, the Lie symmetry and conformal invariance of differential equations of motion for a holonomic system are defined, and the determining equations of the conformal invariance of Lie symmetry and the Hojman conserved quantity for the system are given.Finally, an example is presented to illustrate the application of the results.

关 键 词：APPELL方程 LIE对称性 共形不变性 HOJMAN守恒量 

分 类 号：O316[理学—一般力学与力学基础]