English

Darboux transformation for a general Dirac equation in two dimensions

High Energy Physics - Theory 2011-04-07 v6

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.

Keywords

Cite

@article{arxiv.0904.0992,
  title  = {Darboux transformation for a general Dirac equation in two dimensions},
  author = {Ekaterina Pozdeeva and Axel Schulze-Halberg},
  journal= {arXiv preprint arXiv:0904.0992},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T12:48:46.351Z