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

Charles W. Clark
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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 $l$.

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Charles W. Clark. 1997-04-15. Closed-form solutions of the Schroedinger equation for a class of smoothed Coulomb potentials. https://doi.org/10.1088/0953-4075%2F30%2F11%2F006

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