Version 1
: Received: 28 May 2021 / Approved: 31 May 2021 / Online: 31 May 2021 (11:46:05 CEST)
How to cite:
Ahmed, F. Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator. Preprints2021, 2021050755. https://doi.org/10.20944/preprints202105.0755.v1
Ahmed, F. Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator. Preprints 2021, 2021050755. https://doi.org/10.20944/preprints202105.0755.v1
Ahmed, F. Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator. Preprints2021, 2021050755. https://doi.org/10.20944/preprints202105.0755.v1
APA Style
Ahmed, F. (2021). Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator. Preprints. https://doi.org/10.20944/preprints202105.0755.v1
Chicago/Turabian Style
Ahmed, F. 2021 "Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator" Preprints. https://doi.org/10.20944/preprints202105.0755.v1
Abstract
In this paper, we investigate the behaviour of a relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. We analyze the quantum system under a Coulomb-type radial electric field and a uniform magnetic induced by Lorentz symmetry breaking effects under a Cornell-type potential, and obtain the bound states solution by solving the Klein-Gordon oscillator. We see a quantum effect due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system, and the energy eigenvalues and the wave-function of the oscillator field get modified by the Lorentz symmetry breaking parameters as well as due to the presence of Cornell-type potential.
Keywords
Lorentz symmetry violation; Relativistic wave-equations: bound states solutions; scalar potential; electric & magnetic field; biconfluent Heun’s function
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
