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

Abstract

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

14 pages, no figure, this work has been accepted for publication in The European Physical Journal Plus

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• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• An ubiquitous three-term recurrence relation
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• Gross misinterpretation of a conditionally solvable eigenvalue equation
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• A most misunderstood conditionally-solvable quantum-mechanical model