Darboux transformations for a generalized Dirac equation in two dimensions
Darboux transformations for a generalized Dirac equation in two dimensions
We construct explicit Darboux transformations for a generalized, two-dimensional Dirac equation. Our results complement and generalize former findings for Dirac equations in two and three spatial dimensions. We show that as a particular case, our Darboux transformations are applicable to the two-dimensional Dirac equation in cylindrical coordinates and give several …