Generalized Klein–Gordon oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space–time and Aharonov–Bohm effect

Abstract

We solve a generalized Klein–Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of scalar and vector potentials of Coulomb types in the static cosmic string space–time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov–Bohm effect for bound states.