As with the earlier edition, this book provides an accessible introduction to supersymmetric
quantum mechanics and its applications in quantum, statistical and solid state physics …

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 …

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 …

We conducted an investigation into the impact of an external magnetic field on graphene
under two proposed conditions: a constant magnetic field (ω), and a field characterized by …

We construct a Darboux transformation for a class of two-dimensional Dirac systems at zero
energy. Our starting equation features a position-dependent mass, a matrix potential, and an …

The effective Hamiltonian for electrons in bilayer graphene with applied magnetic fields is
solved through second-order supersymmetric quantum mechanics. This method transforms …

This work analyzes monolayer graphene in external electromagnetic fields, which is
described by the Dirac equation with minimal coupling. Supersymmetric quantum …

We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic
(not isospectral) with the known exactly solvable models. Explicit formulas for their spectra …

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 …

We study uniaxially strained graphene under the influence of non-uniform magnetic fields
perpendicular to the material sample with a coordinate independent strain tensor. For that …