关于量子力学中力学量算符矩阵元的教学思考  

Consideration of Teaching Matrix Element of Operators of Mechanical Quantities in Quantum Mechanics

作　　者：刘明[1] 

机构地区：[1]湖北第二师范学院物理与电子信息学院,武汉430205

出　　处：《湖北第二师范学院学报》2012年第8期105-108,共4页Journal of Hubei University of Education

摘　　要：本文试图从量子力学中力学量算符矩阵元的一般定义出发,通过讨论它在一些具体表象中的表示,进而从本源上弄清算符矩阵元,平均值及对角元是本征值诸公式之间的区别与联系,并通过典型例题的设计与解析,从而解决学生在学习力学量算符矩阵元求解中的困惑,从根本上解决学生在学习海森伯矩阵力学中遇到的困难。This paper starts with the general definition of matrix element of operators of mechanical quantities in quantum mechanics.By discussing it in some specific representation,the article tries to figure out the differences and correlations between matrix element of operators,mean and the formula of diagonal elements.Through the design and analysis of typical examples,the author manages to solve the difficulties in learning matrix element of operators of mechanical quantities and Heisenberg matrix mechanics.

关 键 词：矩阵力学 力学量算符 矩阵元 微扰 教学 

分 类 号：O41[理学—理论物理]