Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Relativistic Scalar Feld Under the EffEcts of Lorentz Symmetry Violation Subject to Cornell-Type Potential

Version 1 : Received: 28 May 2021 / Approved: 31 May 2021 / Online: 31 May 2021 (11:34:48 CEST)

How to cite: Ahmed, F. Relativistic Scalar Feld Under the EffEcts of Lorentz Symmetry Violation Subject to Cornell-Type Potential . Preprints 2021, 2021050748 (doi: 10.20944/preprints202105.0748.v1). Ahmed, F. Relativistic Scalar Feld Under the EffEcts of Lorentz Symmetry Violation Subject to Cornell-Type Potential . Preprints 2021, 2021050748 (doi: 10.20944/preprints202105.0748.v1).

Abstract

We investigate a scalar particle under Lorentz symmetry breaking effects determined by a tensor out of the Standard Model Extension (SME) in the presence of a Cornell-type potential by modifying the mass term M → M +S in the KG-equation. The field configuration is such that a Coulomb-type radial electric field and a constant magnetic field can be induced by Lorentz symmetry violation, and analyze the behaviour of a scalar particle. One can see that the bound states solution to the KG-equation under the consider effects can be achieved, and a quantum effect characterized by the dependence of charge density distribution parameter on the quantum numbers of the system is observed.

Subject Areas

Lorentz symmetry violation; Relativistic wave-equations; scalar potential; electric & magnetic field; biconfluent Heun’s function

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