Abstract
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.
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