https://doi.org/10.1140/epjp/s13360-020-00259-1
Regular Article
On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation
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:
15
December
2019
Accepted:
31
January
2020
Published online:
13
February
2020
We investigated the relativistic oscillator model for spin-1/2 fermionic fields, known as the Dirac oscillator, in a background of breaking the Lorentz symmetry governed by a constant vector field inserted in the Dirac equation by non-minimal coupling, where we proposed two possible scenarios of Lorentz symmetry violation which induce a Coulomb-type potential. Thus, in the search for solutions of bound states, we determine, analytically, the relativistic energy profile for the Dirac oscillator, where an interesting quantum effect arises: The frequency of the Dirac oscillator is determined by the quantum numbers of the system and the parameters that characterize the scenarios of Lorentz symmetry violation.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
