Abstract
A new ring-shaped potential, obtained by replacing the Coulomb part of the Hartmann potential by a harmonic oscillator term, is investigated. The Schrodinger equation is solved in spherical, circular cylindrical, prolate and oblate spheroidal coordinates. As in the case of the Hartmann potential, the 'accidental' degeneracies occurring in the spectrum are shown to be due to an su(2) dynamical invariance algebra. This establishes a close connection between both ring-shaped potentials.
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