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

Faizuddin Ahmed

doi:10.20944/preprints202106.0093.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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

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

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

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