附着在三体上的单参数李群系  

One-parameter Lie Group System Attached to Three-body

作　　者：尹君毅[1] 管克英[1] 

机构地区：[1]北京交通大学理学院,北京100044

出　　处：《应用数学学报》2007年第4期667-674,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(号)资助项目.

摘　　要：本文给出三体在—般情形下的伴随李群系与守恒量,并在特殊的力势函数下求出了三体扩展的伴随李群系,进一步利用这个扩展的伴随李群系求出除10个经典守恒外的更多守恒量.This paper focuses on adjoin Lie group system and conservation quantities of three-body on the general condition. At the same time, three-body expansion adjoin Lie group system is achieved by virtue of special power potential function. Furthermore, using the three-body expansion adjoin Lie group system, a lot of conservation quantities are attained except for the 10 classical conservation quantities.

关 键 词：李群 守恒量 李括号 

分 类 号：O175.14[理学—数学]