k deformed Dirac equation in crossed magnetic and electric fields

TL;DR

This paper derives solutions for the k deformed Dirac equation in (2+1) dimensions under crossed magnetic and electric fields, revealing how electric fields modify Landau levels and identifying a critical magnetic field for level contraction.

Contribution

It introduces the analysis of k deformed Dirac equation solutions in crossed fields and explores the effects of electric fields on Landau levels and their contraction.

Findings

k deformed Landau levels are modified by electric fields

Landau level contraction depends on a critical magnetic field

Critical magnetic field is independent of deformation parameter in first order

Abstract

We obtain solutions of the (2 + 1) dimensional k deformed Dirac equation in the presence of crossed magnetic and electric fields. It is shown that the k deformed Landau levels are modified in the presence of the electric field. Contraction of Landau levels has also been examined and it has been shown that the contraction depends on a critical magnetic field which is independent of the deformation parameter in first order approximation.