1302.0798 (Stefano Bellucci et al.)

The Coulomb problem on a 3-sphere and Heun polynomials    [PDF]

Stefano Bellucci, Vahagn Yeghikyan

The paper studies the quantum mechanical Coulomb problem on a 3-sphere. We present a special parametrization of the ellipto-spheroidal coordinate system suitable for the separation of variables. After quantization we get an explicit form of the spectrum and present an algebraic equation for the eigenvalues of the Runge-Lentz vector. We also present the wave functions expressed via Heun polynomials.

View original: http://arxiv.org/abs/1302.0798