Linear Conﬁnement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Eﬀects

Faizuddin Ahmed

doi:10.20944/preprints202106.0051.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Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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 (08:24:44 CEST)

In this work, linear conﬁnement of a relativistic scalar particle under the eﬀects of Lorentz symmetry violation is investigated. We introduce a scalar potential by modifying the mass via transformation M → M + S(r) in the wave equation, and analyze the eﬀects on the eigenvalues and the wave function. We see that the solution of the bound state to the wave equation can be achieved, and the energy eigenvalues and the wave function modiﬁed by the Lorentz symmetry breaking parameters as well as potential

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

Physical Sciences, Acoustics

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Linear Conﬁnement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Eﬀects

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