Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential

TL;DR

This paper investigates the relativistic quantum behavior of charged particles in cosmic string spacetime under magnetic and scalar fields, deriving energy spectra for different potential configurations and analyzing their dependencies.

Contribution

It introduces a detailed analysis of scalar potentials in cosmic string spacetime, providing explicit energy spectra for various configurations and field strengths.

Findings

Energy spectra depend on magnetic field strength and scalar coupling constants.

Two scalar potential configurations analyzed: inverse and direct proportionality to radius.

Results enhance understanding of quantum particles in cosmic string environments.

Abstract

In this paper we analyze the relativistic quantum motion of charged spin-0 and spin-1/2 particles in the presence of a uniform magnetic field and scalar potentials in the cosmic string spacetime. In order to develop this analysis, we assume that the magnetic field is parallel to the string and the scalar potentials present a cylindrical symmetry with their center on the string. Two distinct configurations for the scalar potential, $S(r)$, are considered: $(i)$ the potential proportional to the inverse of the polar distance, i.e., $S\propto1/r$, and $(ii)$ the potential proportional to this distance, i.e., $S\propto r$. The energy spectra are explicitly computed for different physical situations and presented their dependences on the magnetic field strength and scalar coupling constants.