Eur. Phys. J. Plus (2017) 132: 416
https://doi.org/10.1140/epjp/i2017-11661-y

Regular Article

-deformed Dirac equation in crossed magnetic and electric fields

¹ Department of Mathematics, Vivekananda College, 700063, Kolkata, India
² Physics & Applied Mathematics Unit, Indian Statistical Institute, 700108, Kolkata, India

^* e-mail: pinaki@isical.ac.in

Received: 11 July 2017
Accepted: 23 August 2017
Published online: 6 October 2017

Abstract

We obtain solutions of the -dimensional -deformed Dirac equation in the presence of crossed magnetic and electric fields. It is shown that the -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.