Lorentz Symmetry Violation Effects Caused by the Coupling between the Field <i>f</i><i>^μ</i><i>γ</i>⁵ and the Derivative of the Fermionic Field on One-Dimensional Potentials

Abstract

In search of physics beyond the standard model, new phenomena can be relevant in low energies. In view of the Standard Model Extension is an effective field theory, in this study we explore the fermionic sector by showing that the properties of nonrelativistic quantum systems can be modified. We study one-dimensional nonrelativistic quantum systems under Lorentz symmetry violation effects caused by the coupling between the fixed vector field fμγ5 and the derivative of the fermionic field. We deal with the quantum bouncer, the attractive inverse-square potential, a modified attractive inverse-square potential, and a scalar exponential potential inside this scenario of the Lorentz symmetry violation. Then, we show that the spectra of energy are influenced by the Lorentz symmetry violation effects.

Keywords

• violation of the Lorentz symmetry
• derivative of the fermionic field
• quantum bouncer
• attractive inverse-square potential
• scalar exponential potential