The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in the presence of a Lorentz-violating background that is nonminimally coupled to a spinor and a gauge field. The particle eigenenergies were evaluated, showing that the LV background is able to lift the original degenerescence in the absence of magnetic field even for a neutral particle. The Aharonov-Casher phase is used to impose an upper bound on the background magnitude. A similar analysis is accomplished in a space endowed with a topological defect, revealing that both the disclination parameter and the LV background are able to modify the particle eigenenergies. We also analyze a particular case where the particles interact harmonically with the topological defect and the LV background, with similar results.

The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-adjoint extension method, an expression for the bound state energies is obtained in terms of the physics of the problem by determining the self-adjoint extension parameter. p-4