30 citations · 224 across the 17 of their papers we have counts for
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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…
Pseudo-Hermitian and PT -symmetric quantum systems with energy-dependent potentials: Bound-state solutions and energy spectra
Axel Schulze-Halberg, Pinaki Roy
We introduce generalized versions of complex Scarf and Morse-type potentials that con- tain energy-dependent parameters. PT -symmetry and pseudo-hermiticity of the associated quant…
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…
Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials
Axel Schulze-Halberg, Pinaki Roy
We construct energy-dependent potentials for which the Schroedinger equations admit solu- tions in terms of exceptional orthogonal polynomials. Our method of construction is based…