Darboux transformation for a general Dirac equation in two dimensions

Details Darboux transformation for a general Dirac equation in two dimensions Darboux transformation for a general Dirac equation in two dimensions

2009-04-06

arxiv.org/abs/0904.0992v6

J.Math.Phys.51:113501,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1063/1.3505127

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 two-dimensional Dirac equation in cylindrical coordinates and give several examples.

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