SO(3)群构造下角动量算符的矩阵元表示

A matrix element representation of angular momentum operator under SO(3) group formation

在不计及自旋的情况下,根据SO(3)群群元的生成条件和角动量算符J的三维空间转动情况,以较为简明的方式导出了地J2和Jz所组成的以|j,m〉为基矢的共同表象中,角动量平方算符J2及角动量算符J各分量的矩阵元表示。

According to the characteristics of the angular momentum operator spinning in three-dimensional space and SO(3) group elements formation conditiona, we have, in a simpler way without reckoning its spinning, deduced the simultaneous represeutation of 2 and z with |j,m〉 as the basis vector.