摘要
利用张量分析的方法,给出了一种较为简明的推导在正交曲线坐标中的薛定谔方程形式的方法.并以柱坐标系和球坐标系为例,分别给出与其对应的薛定谔方程.
A simple method of deriving Schrodinger Equation in orthogonal curvilinear coordinates is by proposed using tensor method. As cases study of Schrodinger equation corresponding forms in cylindrical coordinates and spherical coordinates are given, respectively.
关键词
正交曲线坐标系
薛定谔方程
度规张量
Orthogonal Curvilinear Coordinate System
Schrodinger Equation
Metric Tensor