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We write Schr\"odinger equation for the Coulomb potential in both de Sitterand Anti-de Sitter spaces using the Extended Uncertainty Principle formulation.We use the Nikiforov-Uvarov method to solve the equations. The energyeigenvalues for both systems are given in their exact forms and thecorresponding radial wave functions are expressed in associated Jacobipolynomials for de Sitter space, while those of Anti-de Sitter space are givenin terms of Romanovski polynomials. We have also studied the effect of thespatial deformation parameter on the bound states in the two cases.

Exact Solution of Schr\"odinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom