European Physical Journal C: Particles and Fields (May 2024)
Charged scalar bosons in a Bonnor–Melvin- $$\varLambda $$ Λ universe at conical approximation
Abstract
Abstract The quantum dynamics of charged scalar bosons in a Bonnor–Melvin- $$\varLambda $$ Λ universe is considered. In this study, the behavior of charged scalar bosons is explored within the framework of the Duffin–Kemmer–Petiau (DKP) formalism. Adopting a conical approximation $$(\varLambda \ll 1),$$ ( Λ ≪ 1 ) , we are considered two scenarios for the vector potential: a linear and quadratic vector potentials. In particular, the effects of this background in the equation of motion, phase shift, S-matrix, energy spectrum and DKP spinor are analyzed and discussed.