Relativistic quantum oscillators in the global monopole spacetime

TL;DR

This paper analyzes how the global monopole spacetime influences the energy spectra of relativistic quantum oscillators by solving the Dirac and Klein-Gordon equations analytically, including the effects of curvature and boundary conditions.

Contribution

It provides the first analytical solutions for relativistic quantum oscillators in a global monopole spacetime, incorporating boundary effects and specific potential cases.

Findings

Curvature affects the energy levels of the oscillators.

Analytical solutions for Dirac and Klein-Gordon equations in this background.

Energy spectrum determined for a hard-wall potential case.

Abstract

We investigated the effects of the global monopole spacetime on the Dirac and Klein-Gordon relativistic quantum oscillators. In order to do this, we solve the Dirac and Klein-Gordon equations analytically and discuss the influence of this background which is characterized by the curvature of the spacetime on the energy profiles of these oscillators. In addition, we introduce a hard-wall potential and, for a particular case, determine the energy spectrum for relativistic quantum oscillators in this background.