Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Eﬀects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator

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. Preprints 2021, 2021050755 (doi: 10.20944/preprints202105.0755.v1). Ahmed, F. Eﬀects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator. Preprints 2021, 2021050755 (doi: 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, General & Theoretical Physics

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