On an attractive inverse-square-type interaction induced by Lorentz symmetry violation influenced by a nonuniform magnetization

With the Lorentz symmetry violation determined by a fixed space-like vector field, we search for Lorentz symmetry violation effects from the influence of the magnetic field produced by the nonuniform magnetization on an attractive r -2 potential. We show that bound states can be achieved, where the energy levels possess an exponential decay with regard to the radial quantum number. Further, we show that Landau-type levels can be obtained from a Lorentz symmetry violation background determined by a fixed space-like vector field together with the magnetic field produced by a nonuniform magnetization.