Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Klein-Gordon Oscillator Under the Effects of Violation of the Lorentz Symmetry

Version 1 : Received: 3 June 2021 / Approved: 3 June 2021 / Online: 3 June 2021 (08:14:17 CEST)

How to cite: Ahmed, F. Klein-Gordon Oscillator Under the Effects of Violation of the Lorentz Symmetry. Preprints 2021, 2021060093 (doi: 10.20944/preprints202106.0093.v1). Ahmed, F. Klein-Gordon Oscillator Under the Effects of Violation of the Lorentz Symmetry. Preprints 2021, 2021060093 (doi: 10.20944/preprints202106.0093.v1).

Abstract

In this work, we investigate the behaviour of relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor $(K_F)_{\mu\nu\alpha\beta}$ out of the Standard Model Extension. We analyze this relativistic system under an inverse radial electric field and a constant magnetic field induced by Lorentz symmetry violation. We see that the presence of Lorentz symmetry breaking terms modified the energy spectrum of the system, and a quantum effect arise due to the dependence of the linear charge density on the quantum numbers of the system

Subject Areas

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

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