Key points are not available for this paper at this time.
Abstract In this study, our primary focus is on exploring the relativistic quantum dynamics of spin-zero scalar particles in a magnetic space-time background. Our investigation revolves around solving the Klein–Gordon (KG) equation within the framework of an electrovacuum space-time, while incorporating an external scalar potential. Specifically, we consider a cylindrical symmetric Bonnor-Melvin magnetic universe featuring a cosmological constant, where the magnetic field aligns parallel to the symmetry axis. Our approach involves deriving the radial equation of the wave equation, initially considering a linear confining potential and subsequently incorporating a Cornell-type scalar potential. We successfully obtain an approximate analytical solution for the eigenvalues of the quantum system under examination. Worth noting is our observation that the energy spectrum and the corresponding radial wave function experience notable modifications due to the presence of various factors including the cosmological constant, the topological parameter characterizing the space-time geometry, and the potential parameters.
Ahmed et al. (Thu,) studied this question.