Kappa-deformed Dirac oscillator in an external magnetic field

TL;DR

This paper investigates how a kappa-deformation influences the energy levels and eigenfunctions of a Dirac oscillator in a magnetic field, revealing potential experimental detection methods and a reduction to pseudo-supersymmetry.

Contribution

It introduces the analysis of a kappa-deformed Dirac oscillator with magnetic field, highlighting the deformation's impact on energy spectra and supersymmetry structure.

Findings

Deformation parameter alters energy eigenvalues.

Eigenfunctions are affected by the deformation.

Hidden supersymmetry reduces to pseudo-supersymmetry.

Abstract

We study the solutions of the (2+1)-dimensional kappa-deformed Dirac oscillator in the presence of a constant transverse magnetic field. We demonstrate how the deformation parameter affects the energy eigenvalues of the system and the corresponding eigenfunctions. Our findings suggest that this system could be used to detect experimentally the effect of the deformation. We also show that the hidden supersymmetry of the non-deformed system reduces to a hidden pseudo-supersymmetry having the same algebraic structure as a result of the k-deformation.