量子数l的上升算符和下降算符对|l,m〉的作用

Action to |l,m>| for the raise and lower operator of quantum number l

通过分析 ,给出了量子数l的上升算符、下降算符与方向算符和轨道角动量算符的对易关系 .通过量子数l的上升算符和下降算符各分量式对L∧2 与L∧z 本征矢 |l,m〉的直接作用 ,给出了 |l,m〉在量子数l升降算符作用中确定常数的方法 .

This paper gives the commutation rules of the rais and lower of quantum number l with direction operator and angular momentum operator. Through the direct action to |l,m> for the raise and lower of quantum number l , the explicit method for fix constant are given.