二维各向同性谐振子径向矩阵元计算的新方法

The new calculation method for radial matrix elements of two dimensional isotropic oscillator

将二维各向同性谐振子的合流超几何函数解转化为广义拉盖尔多项式解 ,导出了比较简单的计算二维各向同性谐振子径向矩阵元的一般公式 。

After the confluent hypergeometric funtion solution of two-dimensional isotropic oscillator is trans-formed into the general laguerre polynomials solution, a concise general forrula of the radial matrix element of the two-dimensional isotropic oscillator is devived and the average value of the luleger power of radial vector are obtained from the general formula.