|XXIX Workshop on Geometric Methods in Physics||27.06-03.07.2010|
Nontoy models from Dirac Darboux transformation
We construct explicit Darboux transformations for a generalized, two-dimensional Dirac equation. Our results contain former findings for the one-dimensional, stationary Dirac equation, as well as for the fully time-dependent case in (1+1) dimensions. We show that our Darboux transformations are applicable to the three-dimensional Dirac equation.