Eur. Phys. J. C (2020) 80: 206
https://doi.org/10.1140/epjc/s10052-020-7774-4

Regular Article - Theoretical Physics

Relativistic quantum oscillators in the global monopole spacetime

¹ Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 52171-900, Brazil
² Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória, ES, 29060-900, Brazil
³ Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-900, Brazil

^* e-mail: eduardoandre1983@gmail.com

Received: 6 September 2019
Accepted: 23 February 2020
Published online: 5 March 2020

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 characterised 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.