The Coulomb problem on a 3-sphere and Heun polynomials

  title={The Coulomb problem on a 3-sphere and Heun polynomials},
  author={Stefano Bellucci and Vahagn Yeghikyan},
  journal={Journal of Mathematical Physics},
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 the 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. 
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