  Based on models of confinement of quarks, we analyse a relativistic scalar
particle subject to a scalar potential proportional to the inverse of the
radial distance and under the effects of the violation of the Lorentz symmetry.
We show that the effects of the Lorentz symmetry breaking can induced a
harmonic-type potential. Then, we solve the Klein-Gordon equation analytically
and discuss the influence of the background of the violation of the Lorentz
symmetry on the relativistic energy levels.
