相对论转动变质量系统的Lie对称性与守恒量  

Lie symmetries and conserved quantities of relativistic rotational variable mass system

作　　者：郭冠平[1] 

机构地区：[1]浙江师范大学教育科学与技术学院,浙江金华321004

出　　处：《浙江师大学报（自然科学版）》2001年第1期11-15,共5页Journal of Zhejiang Normal University(Natoral Sciences)

摘　　要：研究了相对论转动变质量系统的 Lie对称性与守恒量 .首先利用微分方程在无限小群变换下的不变性建立了系统的 Lie对称性的确定方程 ,给出了结构方程与守恒量 ;其次研究了系统的 Lie对称性逆问题 .Lie symmetries and conserved quantities of relativistic rotational variable mass system have been studied.It established the determining equations and the restriction equations of the Lie symmetries of the systems and gave the structure equation and the conserved quantities,which were using the invariance of the ordinary differential equations under the infinitesimal transformations;It also studied the inverse problem of Lie symmetries of the systems.

关 键 词：相对论 LIE对称性 守恒量 转动变质量系统 无限小群变换 Lie对称性逆问题 

分 类 号：O412.1[理学—理论物理] O313.6[理学—物理]