Discussion on the calculation of radial matrix elements of three-dimensional isotropic oscillator
关于三维各向同性谐振子径向矩阵元计算的讨论

A concise general formula of the radial matrix element of the three-dimensional isotropic oscillator is derived using the properties of the general Laguerre polynomials. Some important special cases, such as the average value of the integer power of radial vector, the matrix element of the electric dipole transition and the element of the electric quadrupole transition, are obtained from the general formula.