30 citations · 118 across the 8 of their papers we have counts for
9 papers
Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators
Axel Schulze-Halberg, Pinaki Roy
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…
Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
A. Schulze-Halberg, A. M. Ishkhanyan
We apply the Darboux transformation to construct new exactly-solvable cases of the two-dimensional massless Dirac equation for potential classes of Lambert-W and inverse exponentia…
Exactly-solvable quantum systems in terms of Lambert-W functions
A. Schulze-Halberg, A. M. Ishkhanyan
We construct a variety of new exactly-solvable quantum systems, the potentials of which are given in terms of Lambert-W functions. In particular, we generate Schrödinger models wit…
Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
A. Schulze-Halberg, P. Roy
We study the two-dimensional massless Dirac equation for a potential that is allowed to depend on the energy and on one of the spatial variables. After determining a modified ortho…
Construction of zero energy states in graphene through the supersymmetry formalism
Axel Schulze Halberg, Pinaki Roy
We devise a supersymmetry-based method for the construction of zero-energy states in graphene. Our method is applied to a two-dimensional massless Dirac equation with a hyperbolic…
Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics
Alonso Contreras-Astorga, Axel Schulze-Halberg
A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With th…