On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator

摘要

In this work, we obtain bound states for a nonrelativistic spin-half neutralparticle under the influence of a Coulomb-like potential induced by the Lorentzsymmetry breaking effects. We present a new possible scenario of studying theLorentz symmetry breaking effects on a nonrelativistic quantum system definedby a fixed space-like vector field parallel to the radial direction interactingwith a uniform magnetic field along the z-axis. Furthermore, we also discussthe influence of a Coulomb-like potential induced by Lorentz symmetry violationeffects on the two-dimensional harmonic oscillator.