Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field

Abstract

In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field $(K_F{)}_{\mu \nu \alpha \beta }$ out of the Standard Model Extension (SME). We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field that contributes a harmonic-type central potential in the relativistic quantum motions of scalar oscillator fields. The bound-states solutions of the wave equation using the parametric Nikiforov-Uvarov method by considering a Coulomb and Cornell-type potential form functions are obtained. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels (without Lorentz-Violation effects in flat space)

arXiv comment13 pages; accepted for the publication in Canadian Journal of Physics

References in corpus (39)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Signals for Lorentz Violation in Electrodynamics
• CPT, Strings, and Meson Factories
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• CPT Violation Implies Violation of Lorentz Invariance
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Lorentz-Violating Electrostatics and Magnetostatics
• First experimental realization of the Dirac oscillator
• Towards a quantum Hall effect for atoms using electric fields
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Landau Quantization of Neutral Particles in an External Field
• Landau Levels Analog to Electric Dipole
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Remarks on the Causality, Unitarity and Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• An Investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models in $N=1$-Supersymmetric Scenario
• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Lorentz violation and black-hole thermodynamics
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• Quantum Holonomies based on the Lorentz-violating tensor background
• A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
• Coulomb-type interaction under Lorentz symmetry breaking effects
• Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems