Darboux transformations for a generalized Dirac equation in two dimensionsстатья
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Аннотация: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 examples. (c) 2010 American Institute of Physics. [doi:10.1063/1.3505127]