https://doi.org/10.1140/epjp/i2012-12102-3
Regular Article
On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the harmonic oscillator
1
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, 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:
12
July
2012
Revised:
29
August
2012
Accepted:
31
August
2012
Published online:
17
September
2012
In this work, we obtain bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects. We present a new possible scenario of studying the Lorentz symmetry breaking effects on a nonrelativistic quantum system defined by a fixed space-like vector field parallel to the radial direction interacting with a uniform magnetic field along the z -axis. Furthermore, we also discuss the influence of a Coulomb-like potential induced by Lorentz symmetry violation effects on the two-dimensional harmonic oscillator.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012
