Eﬀects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation

Faizuddin Ahmed

doi:10.20944/preprints202106.0006.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 1 June 2021 / Approved: 1 June 2021 / Online: 1 June 2021 (09:24:32 CEST)

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

Lorentz symmetry violation; Relativistic wave-equations: bound states solutions; scalar potential; electric & magnetic ﬁeld; biconﬂuent Heun’s equation

PHYSICAL SCIENCES, General & Theoretical Physics

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Eﬀects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation

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