Closed-form solutions of the Schroedinger equation for a class of smoothed Coulomb potentials

Abstract

An infinite family of closed-form solutions is exhibited for the Schroedinger equation for the potential $V(r)=-Z/\sqrt{|r{|}^2+a^2}$. Evidence is presented for an approximate dynamical symmetry for large values of the angular momentum $l$.

13 pages LaTeX, uses included Institute of Physics style files, 3 PostScript figures. In press at J. Phys. B: At. Mol. Opt. Phys. (1997)

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