角动量算符本征值问题的抽象算符方法  

Abstract Operator Approach of the Angular Momentum Operator Eigenvalue Problem

作　　者：杨凡[1] 陶才德[2] 何竹[2] 

机构地区：[1]绵阳师范学院物理系,四川绵阳621000 [2]四川师范学院物理与电子信息系,四川南充637002

出　　处：《四川师范学院学报（自然科学版）》2003年第2期232-235,共4页Journal of Sichuan Teachers College(Natural Science)

摘　　要：从抽象的角动量算符的对易子关系出发,利用相应的上升算符和下降算符,直接求解J2和Jz的本征值和共同本征矢,在坐标基中得到轨道角动量算符L2和Lz的共同本征函数.This paper begins with the commutation relation of abstract angular momentum operator, and then utilizes the corresponding raising operator and the lower operator to directly solve the eigenvalue and the same eigenvector of J2 and Jz. Finally eigenequations of both orbit angular momentum operator L2 and Lz are given on the basis of coordinate.

关 键 词：量子力学 角动量算符 本征值 本征函数 抽象算符方法 对易关系 

分 类 号：O413.1[理学—理论物理]