The behavior of a Dirac electron in graphene, under magnetic fields which are orthogonal to
the layer, is studied. The initial problem is reduced to an equivalent one, wherein two one …

We use supersymmetry transformations to obtain new one parameter families of
inhomogeneous magnetic fields $\boldsymbol {B}=\widetilde {\mathcal {B}}(x,\lambda)\hat …

In this paper we will construct the coherent states for a Dirac electron in graphene placed in
a constant homogeneous magnetic field which is orthogonal to the graphene surface. First of …

In this paper, a simple method is proposed to get analytical solutions (or with the help of a
few numerical calculations) of the Dirac-Weyl equation for low energy electrons in graphene …

In this paper, we consider the interaction of electrons in bilayer graphene with a constant
homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the …

This manuscript explores the Darboux transformation employed in the construction of exactly
solvable models for pseudospin-one particles described by the Dirac-type equation. We …

In this paper we study Dirac-Weyl equation on a sphere under the influence of electric and
magnetic fields. We have considered some electric and magnetic field profiles and bound …

We characterize the confinement of massless Dirac electrons under axially symmetric
magnetic fields in graphene, including zero energy modes and higher energy levels. In …

We consider a spherical fullerene molecule under magnetic fields perpendicular to the
surface. The aim is to find out the general forms of magnetic field profiles for which the exact …

The Dirac equation in (2+ 1) dimensions on the toroidal surface is studied for a massless
fermion particle under the action of external fields. Using the covariant approach based on …