Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 1 June 2021 / Approved: 2 June 2021 / Online: 2 June 2021 (08:24:44 CEST)

How to cite: Ahmed, F. Linear Conﬁnement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Eﬀects. Preprints 2021, 2021060051 (doi: 10.20944/preprints202106.0051.v1). Ahmed, F. Linear Conﬁnement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Eﬀects. Preprints 2021, 2021060051 (doi: 10.20944/preprints202106.0051.v1).

## Abstract

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

## Subject Areas

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

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