Eﬀects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle

Faizuddin Ahmed

doi:10.20944/preprints202106.0154.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 5 June 2021 / Approved: 7 June 2021 / Online: 7 June 2021 (08:47:58 CEST)

In this paper, a relativistic scalar particle under Lorentz symmetry breaking eﬀects in the presence of a scalar potential is investigated. We introduce the scalar potential by modifying the mass via transformation M → M+S(r) in the wave equation and analyze the behaviour of a scalar particle. We see that the analytical solution to the KleinGordon equation can be achieved, and the energy eigenvalues and the wave function depends on the Lorentz symmetry breaking parameters as well as potential

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

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Eﬀects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle

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