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This research focus on the investigation of relativistic quantum dynamics ofspin0 scalar particles/fields through the utilization of the Klein-Gordon (KG)equation within the framework of an electrovacuum space-time in the presence ofan external scalar potential. Specifically, we focus on a cylindrical symmetricBonnor-Melvin magnetic universe with a cosmological constant, where themagnetic field aligns along the symmetry axis direction. We derive the radialwave equation of the KG-equation by considering a Cornell-type scalar potentialin the background of magnetic universe and successfully obtain an analyticaleigenvalue solution for spin-0 quantum system. Notably, our findings revealthat both the energy spectrum and the corresponding radial wave function aresignificantly influenced by the presence of the cosmological constant, thetopology parameter of the space-time geometry, which induces a deficit in theangular coordinates, and the potential parameters.

Scalar fields in Bonnor-Melvin Universe with potential: A study of dynamics of spin-0 particles-antiparticles