Version 1
: Received: 1 June 2021 / Approved: 1 June 2021 / Online: 1 June 2021 (09:24:32 CEST)
How to cite:
Ahmed, F. Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation. Preprints2021, 2021060006. https://doi.org/10.20944/preprints202106.0006.v1
Ahmed, F. Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation. Preprints 2021, 2021060006. https://doi.org/10.20944/preprints202106.0006.v1
Ahmed, F. Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation. Preprints2021, 2021060006. https://doi.org/10.20944/preprints202106.0006.v1
APA Style
Ahmed, F. (2021). Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation. Preprints. https://doi.org/10.20944/preprints202106.0006.v1
Chicago/Turabian Style
Ahmed, F. 2021 "Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation" Preprints. https://doi.org/10.20944/preprints202106.0006.v1
Abstract
In this work, we study a Klein-Gordon oscillator subject to Cornelltype potential in the background of the Lorentz symmetry violation determined by a tensor out of the Standard Model Extension. We introduce a Cornell-type potential S(r) = (η_L\,r + \frac{η_c}{r} ) by modifying the mass term via transformation $M → M + S(r)$ and then coupled oscillator with scalar particle by replacing the momentum operator $\vec{p}→ (\vec{p}+ i\,M\,ω\,\vec{r})$ in the relativistic wave equation. We see that the analytical solution to the Klein-Gordon oscillator equation can be achieved, and a quantum effect characterized by the dependence of the angular frequency of the oscillator on the quantum numbers of the relativistic system is observed
Keywords
Lorentz symmetry violation; Relativistic wave-equations: bound states solutions; scalar potential; electric & magnetic field; biconfluent Heun’s equation
Subject
Physical Sciences, Atomic and Molecular Physics
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.