Eﬀects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator

Faizuddin Ahmed

doi:10.20944/preprints202106.0066.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 1 June 2021 / Approved: 2 June 2021 / Online: 2 June 2021 (10:15:36 CEST)

In this paper, we consider the eﬀects of a radial electric ﬁeld and a constant magnetic ﬁeld induced by Lorentz symmetry violation on a generalized relativistic quantum oscillator by choosing a function f(r) = b1 r + b2/r in the equation subject to a Cornell-type potential S(r) = ηL r + ηc/ r introduce by modifying the mass term in the equation. We show that the analytical solutions to the Klein-Gordon oscillator can be achieved, and a quantum eﬀect is observed due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system

Lorentz symmetry violation; Relativistic wave-equations: bound states solutions; scalar potential; electric & magnetic ﬁeld; biconﬂuent Heun’s equation

Physical Sciences, Quantum Science and Technology

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Eﬀects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator

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