Dynamics of Spin-0 (Particles-Antiparticles) in Bonnor-Melvin Cosmological Space-Time Using the Generalized Feshbach-Villars Transformation

TL;DR

This paper explores the relativistic quantum behavior of spin-0 particles in Bonnor-Melvin cosmological space-time using the Generalized Feshbach-Villars transformation, revealing how space-time parameters affect particle eigenvalues.

Contribution

It introduces a novel application of the GFVT to analyze scalar particles in a magnetic universe with angular deficit, deriving analytical solutions for the Klein-Gordon equation in this context.

Findings

Eigenvalues are significantly influenced by space-time geometry parameters.

Analytical solutions are obtained using special functions.

The study enhances understanding of quantum field behavior in curved space-time.

Abstract

In this paper, we employ the Generalized Feshbach-Villars transformation (GFVT) to investigate the relativistic quantum dynamics of spin-0 scalar particles within the backdrop of a magnetic universe characterized by the Bonnor-Melvin cosmological space-time, which exhibits a geometrical topology resulting in an angular deficit. We derive the radial equation of the Klein-Gordon equation using this FV representation and obtain analytical solutions utilizing special functions. Our analysis demonstrates that various parameters associated with the space-time geometry exert significant influence on the eigenvalue solutions within this novel representation. This research sheds light on the intricate dynamics of particles within the theoretical framework of quantum field theory in curved space-time.