Abstract
In this paper, we study generalizations of the two-dimensional relativistic Coulomb problem in curved geometries with constant positive and negative curvature. It is shown that in both cases the effective Schrödinger-like equations exhibit features of broken supersymmetry and the spectrum is obtained using the SWKB method. Some features of the spectra and restoration of supersymmetry in the zero curvature limit have also been analyzed.
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