TL;DR
This paper presents a method to solve the Dirac oscillator incorporating a minimal length scale by leveraging existing solutions of the harmonic oscillator within Snyder algebra, advancing quantum mechanics models.
Contribution
It introduces a novel approach to solving the Dirac oscillator with minimal length using Snyder algebra, extending previous harmonic oscillator solutions.
Findings
Successfully solved the Dirac oscillator with minimal length
Extended harmonic oscillator solutions to Snyder algebra context
Provided analytical expressions for the energy spectrum
Abstract
We show how to solve the Dirac oscillator with a minimal length by using previous results on the harmonic oscillator in a Snyder algebra.
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