GUP corrections to Dirac oscillator in the external magnetic field

TL;DR

This paper investigates how generalized uncertainty principle (GUP) modifies the energy levels of a (2+1)D Dirac oscillator in a magnetic field, revealing partial degeneracy lifting and a critical magnetic field where oscillations cease.

Contribution

It introduces GUP corrections to the Dirac oscillator in a magnetic field and identifies conditions where these corrections vanish, extending understanding of quantum systems under GUP.

Findings

GUP partially lifts the degeneracy of the lowest Landau level.

A critical magnetic field value is identified where GUP corrections disappear.

Perturbative energy corrections are calculated for low-lying levels.

Abstract

We have studied (2+1) dimensional Dirac oscillator (DO) in an external magnetic field in the framework of generalized uncertainty principle (GUP). We have calculated the perturbative corrections for first few energy levels. We show that the infinite degeneracy of lowest Landau level is partially lifted due to GUP correction and obtained a critical value of the magnetic field for which there is no GUP correction and the DO stops oscillating.