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

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

1997-04-15

arxiv.org/abs/physics/9704019v1

Physics

Atomic Physics

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

Scientific paper

10.1088/0953-4075/30/11/006

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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