https://doi.org/10.1140/epjp/s13360-020-00682-4
Regular Article
Aharonov–Bohm-type effect in an attractive inverse-square potential induced by Lorentz symmetry breaking effects
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, 29060-900, Goiabeiras Vitória, ES, Brazil
Received:
7
May
2020
Accepted:
7
August
2020
Published online:
14
August
2020
We discuss the quantum effects on a neutral particle subject to an attractive inverse-square potential induced by effects of the Lorentz symmetry violation at a low energy scenario. We consider a background of the Lorentz symmetry violation determined by a time-like four-vector and a field configuration of crossed electric and magnetic fields. We show a particular case where bound state solutions can be obtained and an analogue of the Aharonov–Bohm effect for bound states exists.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
