Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
Faizuddin Ahmed

TL;DR
This paper investigates how Lorentz symmetry violation affects the quantum behavior of a relativistic scalar particle, revealing modifications in energy spectra and wave functions due to symmetry-breaking parameters.
Contribution
It provides a new analysis of the relativistic quantum dynamics of scalar particles incorporating Lorentz symmetry violation within the Standard Model Extension framework.
Findings
Energy spectrum depends on Lorentz symmetry breaking parameters
Bound-state solutions of the modified Klein-Gordon equation are obtained
Wave functions are influenced by Lorentz symmetry violation
Abstract
In this paper, the relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor out of the Standard Model Extension is investigated. We see that the bound-state solution of the modified Klein-Gordon equation can be obtained, and the spectrum of energy and the wave function depends on the Lorentz symmetry breaking parameters
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