Clark C. W. Closed-form solutions of the Schroedinger equation for a class of smoothed Coulomb potentials (88K, uuencoded .tar.gz, LaTeX and 3 PostScript figures, IoP style files included) ABSTRACT. An infinite family of closed-form solutions is exhibited for the Schroedinger equation for the potential $V({\bf r}) = -Z/\sqrt{|{\bf r}|^{2} + a^{2}}$. Evidence is presented for an approximate dynamical symmetry for large values of the angular momentum $l$.