Eur. Phys. J. Plus (2017) 132: 25
https://doi.org/10.1140/epjp/i2017-11305-4

Regular Article

A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry

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

^* e-mail: kbakke@fisica.ufpb.br

Received: 16 September 2016
Accepted: 16 December 2016
Published online: 20 January 2017

Abstract

We consider a background of the violation of the Lorentz symmetry determined by the tensor which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.