用本征函数法计算D_3群特征标  

Calculating D_3 Group's Characters by Intrinsic Function Method

作　　者：翟仲海[1] 富纯智 刘立钢[1] 郑君刚[1] 

机构地区：[1]沈阳建筑工程学院基础部,辽宁沈阳110015 [2]黑龙江齐齐哈尔车辆厂职工学校,黑龙江齐齐哈尔161002

出　　处：《沈阳建筑工程学院学报（自然科学版）》2002年第2期158-160,共3页Journal of Shenyang Architectural and Civil Engineering University(Nature Science)

摘　　要：阐述了用本征函数法求D3 群特征标的具体原理及步骤 ,给出用本征函数法求有限群特征标的普适方法 ,即找出构成完备算符集的L个类算符的矩阵表示 ,求出这L个矩阵的共同的特征矢量 ,从归一化条件定出特征矢量大小 。Characters play an important role in traditional group theory.However,there isn't a proper method for determining characters.Eigenfunction method offers a universal method to determine characters of finite group by finding out several class operator of CSCO in matrix representative,and these matrix's common special vectors.With the help of orthonormality,we get the quantity of the special vectors,and by using the special vectors,we determine characters.This paper determines characters of D 3 by Mr.Chen Jin quan' eigenfunction method,and it illustrates in details concrete steps and a general method for the conclusion of the characters by eigenfunction method.

关 键 词：特征标 本征函数法 类空间 不可约表示 群论表示理论 D3群 特征矢量 

分 类 号：O152.6[理学—数学]