Version 1
: Received: 1 June 2021 / Approved: 2 June 2021 / Online: 2 June 2021 (10:15:36 CEST)
How to cite:
Ahmed, F. Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator. Preprints2021, 2021060066. https://doi.org/10.20944/preprints202106.0066.v1
Ahmed, F. Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator. Preprints 2021, 2021060066. https://doi.org/10.20944/preprints202106.0066.v1
Ahmed, F. Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator. Preprints2021, 2021060066. https://doi.org/10.20944/preprints202106.0066.v1
APA Style
Ahmed, F. (2021). Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator. Preprints. https://doi.org/10.20944/preprints202106.0066.v1
Chicago/Turabian Style
Ahmed, F. 2021 "Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator" Preprints. https://doi.org/10.20944/preprints202106.0066.v1
Abstract
In this paper, we consider the effects of a radial electric field and a constant magnetic field induced by Lorentz symmetry violation on a generalized relativistic quantum oscillator by choosing a function f(r) = b1 r + b2/r in the equation subject to a Cornell-type potential S(r) = ηL r + ηc/ r introduce by modifying the mass term in the equation. We show that the analytical solutions to the Klein-Gordon oscillator can be achieved, and a quantum effect is observed due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system
Keywords
Lorentz symmetry violation; Relativistic wave-equations: bound states solutions; scalar potential; electric & magnetic field; biconfluent Heun’s equation
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.