The calculation of eigenvalues and eigenfunctions in an asymptotically Coulomb potential

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Abstract

The calculation of eigenvalues in a central field involves the matching, by Newton-Raphson or otherwise, of forward and backward trial solutions of the radial Schrödinger equation; the backward integration is commenced in a region where the potential has assumed its asymptotic form. For an asymptotically Coulomb potential we investigate the possibility of replacing the complete backward integration by the asymptotic solution.

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