https://doi.org/10.1140/epjp/s13360-020-00657-5
Regular Article
Quantum aspects of the Lorentz symmetry violation on an electron in a nonuniform electric field
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, Vitoria, ES, Brazil
Received:
9
March
2020
Accepted:
30
July
2020
Published online:
5
August
2020
By focusing on the interface between quantum field theory and nonrelativistic quantum mechanics, based on a theory that goes beyond the Standard Model, we consider the hypothesis of having a privileged direction in the space-time. This hypothesis is made by considering a background of the Lorentz symmetry violation determined by a fixed space-like vector field. Then, we analyse quantum effects of this background on the interaction of a nonrelativistic electron with a nonuniform electric field produced by a uniform electric charge distribution.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
