INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.36, no.3, 2021 (SCI-Expanded)
The relativistic bound-state energy spectrum and the wave functions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.