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In this paper, we investigate relativistic quantum dynamics of spin- $0$massive charged particle subject to a homogeneous magnetic field in theG\"{o}del-type space-time with potentials. We solve the Klein-Gordon equationsubject to a homogeneous magnetic field in a topologically trivial flat classof G\"{o}del-type space-time in the presence of a Cornell-type scalar andCoulomb-type vector potentials and analyze the effects on the energyeigenvalues and eigenfunctions.

advances in high energy physics

Investigation of spin-$0$ massive charged particle subject to a  homogeneous magnetic field with potentials in a topologically trivial flat  class of G\"{o}del-type space-time