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arXiv · 0904.0992

Darboux transformation for a general Dirac equation in two dimensions

Ekaterina Pozdeeva·Axel Schulze-Halberg
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Abstract

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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Ekaterina Pozdeeva, Axel Schulze-Halberg. 2010-05-12. Darboux transformation for a general Dirac equation in two dimensions. https://doi.org/10.1063/1.3505127

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