The classical and Quantum Analysis of a Charged Particle on the Spacetime Produced by a Global Monopole

TL;DR

This paper investigates the classical trajectories and quantum states of charged particles in the spacetime of a global monopole, considering the effects of the self-potential as an external electrostatic potential, for both spin-0 and spin-1/2 particles.

Contribution

It provides a combined classical and quantum analysis of charged particles in a global monopole spacetime, including the effects of self-potential as an external electrostatic potential.

Findings

Classical orbits of charged particles are characterized in the monopole spacetime.

Quantum states for spin-0 and spin-1/2 particles are derived.

The self-potential significantly influences particle dynamics.

Abstract

We study the classical and quantum motion of a relativistic charged particle on the spacetime produced by a global monopole. The self-potential, which is present in this spacetime, is considered as an external electrostatic potential. We obtain classical orbits and quantum states for a spin-1/2 and spin-0 particles.