Abstract
We develop a piecewise analytical perturbation series method (PAPSM) for solving the radial Schrodinger equation. The method centers around seeking a perturbation series solution when the coefficient function of the radial Schrodinger equation is approximated by piecewise constant polynomials.We perform a number of numerical experiments designed to evaluate the accuracy and efficiency of PAPSM as compared to Gordon's piecewise analytical solution method. The calculations are performed for both scattering and bound state problems.
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