中心力场坐标算符平均值递推公式的推导及应用

On the Formula of Calculating Average Value of Coordinate Operator in Central Force Field of Spherical symmetry and the Application

在许多原子物理和量子力学的理论问题和实际应用中，经常要计算中心力场中的坐标算符的平均值，传统的计算方法较为复杂且计算量大。本文给出了较简便的运算方法，该方法具有一般性，能解决一类球对称中心力场的许多问题。

In several theoretical questions and practical applications of atomic physics and quantum mechanics, the average value of coordinate operator in central force field are usually calculated. The traditional calculating methods are complicated and the counting amount is huge. In this paper, a simple method of calculation is given, the method is common and can solve some questions of central force field of spherical symmetry.