Loos, Pierre-FrancoisGill, Peter2015-12-100026-8976http://hdl.handle.net/1885/60812We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting via a Coulomb potential, but restricted to remain on the surface of a D-dimensional sphere. Polynomial solutions are found for theKeywords: Analytic solution; Coulomb potential; cusp condition; Exact solution; Exactly solvable model; interdimensional degeneracies; Polynomial solution; spherium; Electric fields; Excited states; Quantum theory; Spheres; Polynomials cusp condition; exact solution; excited states; interdimensional degeneracies; spherium201010.1080/00268976.2010.5084722016-02-24