Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

## Keywords

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

## Subject

PHYSICAL SCIENCES, General & Theoretical Physics

Views 0