Preprint
Article
Effects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle
This version is not peer-reviewed.
Submitted:
05 June 2021
Posted:
07 June 2021
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Abstract
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
Keywords:
Lorentz symmetry violation
; Relativistic wave-equations
; scalar potential
; electric & magnetic field
; biconfluent Heun’s Eqiuation
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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