Efficient Method for Solving Atomic Schroedinger's Equation
By Sherwood Skillman
Introduction.
One of the basic numerical problems in atomic quantumtheory is the solution of the Schroedinger's wave equation for a spherically sym-metric potential. In practice, one is usually concerned with such potentials ob-tained by the Hartree-Fock self-consistent fields [1] or by the Thomas-Fermi-Diracstatistical field methods [2, 3].
This paper describes a highly efficient and rapidly convergent technique forsolving the radial Schroedinger's equation for an arbitrary atomic-like potential.The method has been programmed for the IBM 650 computer and the numericalresults obtained are in good agreement both with pertinent experimental results(x-ray term levels) and with previous theoretical work [4].
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