32 citations · 103 across the 4 of their papers we have counts for
4 papers
Confluent Crum-Darboux transformations in Dirac Hamiltonians with -symmetric Bragg gratings
Francisco Correa, Vit Jakubsky
We consider optical systems where propagation of light can be described by a Dirac-like equation with -symmetric Hamiltonian. In order to construct exactly solvable configurati…
Spectrally isomorphic Dirac systems: graphene in electromagnetic field
Vit Jakubsky
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…
Soliton defects in one-gap periodic system and exotic supersymmetry
Adrian Arancibia, Francisco Correa, Vit Jakubsky +2
By applying Darboux-Crum transformations to the quantum one-gap Lame system, we introduce an arbitrary countable number of bound states into forbidden bands. The perturbed potentia…
Twisted kinks, Dirac transparent systems and Darboux transformations
Francisco Correa, Vit Jakubsky
Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionl…