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
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017
