Relativistic Spin-0 Particle Under Linear Central Potential Eﬀects Induced by Lorentz Symmetry Violation

Faizuddin Ahmed

doi:10.20944/preprints202105.0782.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 31 May 2021 / Approved: 31 May 2021 / Online: 31 May 2021 (13:57:28 CEST)

In this work, we investigate the behaviour of a relativistic scalar particle in the background of the Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. A linear electric ﬁeld and a uniform magnetic can be induced by the violation of the Lorentz symmetry breaking eﬀects, and analyze the behaviour of the scalar particle. We see that the analytical solution to the KG-equation can be achieved, and a quantum eﬀect characterized by the dependence of the magnetic ﬁeld on the quantum numbers is observed

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

Physical Sciences, Nuclear and High Energy Physics

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Relativistic Spin-0 Particle Under Linear Central Potential Eﬀects Induced by Lorentz Symmetry Violation

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