摘要
在量子力学教本中推导L2及Lz的球坐标表达式一般都采用由直角坐标系到球坐标系的变量代换的方法,运算过程十分复杂,本文利用了球坐标系中坐标变量r、θ、φ对正交基矢er、eθ、eφ微分性质,采用球坐标系直接进行推导,简化量子力学中关于角动量算符L2及Lz的的推导.
In quantum mechanics textbook, the spherical coordinate forms of both L^2 and L^x are obtained generally by using the Cartesian coordinates, however, the variable substitution calculation is complex. In this paper, the spherical coordinates on the orthogonal basis of coordinate are regarded to variables vectors, and differential nature of the spherical coordinates is used. The derivation for angular momentum operators L^2 and L^x in quantum mechanics is predigested.
出处
《大学物理》
北大核心
2010年第11期26-28,共3页
College Physics
关键词
球坐标系
动量算符
角动量算符
简化推导
spherical coordinates
angular momentum operator
momentum operator
simplified derivation
