Lie群在力学中的应用  

APPLICATION OF LIE GROUPS IN MECHANICS

作　　者：施国勇[1] 

机构地区：[1]宁波大学应用数学系

出　　处：《宁波大学学报（理工版）》1994年第2期16-23,共8页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：本文用Ｌｉｅ群理论中无穷小变换的延拓方法（Ｐｒｏｌｏｎｇａｔｉｏｎｏｆｉｎｆｉｎｉｔｅｓｉｍａｌｔｒａｎｓｆｏｒｍａｔｉｏｎｓ）推导动力学系统的守恒定律与场的守恒定律。这一方法统一、简洁，避免了应用中推导的繁琐，且便于推广。his paper uses the method of Prolongation of infinitesimal transfrmations in deriving some conservation laws in dynamic systeme and in fields theory. This unified method is quite concise, avoiding tedious manipulations in some literatuns. The method can be easily generalized.

关 键 词：无穷小变换 延拓 守恒定律 NOETHER定理 

分 类 号：O152[理学—数学]