https://doi.org/10.1140/epjc/s10052-018-6479-4
Regular Article - Theoretical Physics
Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator
Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória, ES, 29060-900, Brazil
* e-mail: ricardo.vitoria@pq.cnpq.br
** e-mail: ricardo-luis91@hotmail.com
Received:
22
October
2018
Accepted:
23
November
2018
Published online:
10
December
2018
Inspired by the Standard Model Extension, we have investigated a possible scenario arising from the Lorentz symmetry violation governed by a background tensor field on a scalar field subject to the Klein–Gordon oscillator, where this possible scenario gives rise to a linear central potential. We analyse the behaviour of the relativistic quantum oscillator under the influence of a Coulomb-type scalar potential in this background. Then, we solve the Klein–Gordon equation analytically and discuss the influence of the background which violates the Lorentz symmetry in the relativistic energy levels.
© The Author(s), 2018
