Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
Luis B. Castro, Angel E. Obispo, Andr\'es G. Jir\'on

TL;DR
This paper investigates the quantum behavior of charged scalar bosons in a Bonnor-Melvin-$\\Lambda$ universe using the DKP formalism, focusing on conical approximation effects on their dynamics, phase shifts, and energy spectra.
Contribution
It introduces a detailed analysis of charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe within the conical approximation, considering linear and quadratic vector potentials.
Findings
Effects of background on equations of motion and phase shifts
Analysis of $S$-matrix and energy spectrum modifications
Discussion of DKP spinor behavior in this setting
Abstract
The quantum dynamics of charged scalar bosons in a Bonnor-Melvin- 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 (), 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, -matrix, energy spectrum and DKP spinor are analyzed and discussed.
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