A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry

Abstract

We consider a background of the violation of the Lorentz symmetry determined by the tensor ${\left(K_F\right)}_{\mu \nu \alpha \beta }$ which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.

14 pages, no figure

References in corpus (16)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Parity-violating interactions of cosmic fields with atoms, molecules, and nuclei: Concepts and calculations for laboratory searches and extracting limits
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• Understanding Lorentz violation with Rashba interaction
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension

Cited by in corpus (11)

• The Dirac oscillator in a spinning cosmic string spacetime
• Coulomb-type interaction under Lorentz symmetry breaking effects
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
• Effects of the Lorentz symmetry violation on relativistic neutral scalar bosons: Scattering and bound states
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field