Effects of uniform rotation and electromagnetic potential on the modified Klein–Gordon oscillator in a cosmic string space-time

Abstract

In this work, we study the modified Klein–Gordon oscillator by replacing the momentum vector [Formula: see text] in the Klein–Gordon equation under scalar and electromagnetic potentials in a rotating cosmic string space-time. The electromagnetic and scalar potentials are chosen to be proportional to the inverse of the axial distance [Formula: see text]. We solve the radial wave equation and obtain the energy eigenvalues and the corresponding wave function which depend on the global parameters of the space-time, and observe a gravitational analogue of the Aharonov–Bohm effect. We also see that the presence of electromagnetic and scalar potentials allows the formation of the bound-state solutions and the angular frequency of the oscillator depends on the quantum numbers of the system.