Quadratic supersymmetric transformations of the Dirac Green functions

2007/09/03 by Ekaterina Pozdeeva, Pozdeeva, Ekaterina
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0709.0267

12 pages, Latex, no figures. Typos corrected, refences added

arxiv created 2007/09/10 · arxiv updated 2009/12/01

Abstract

We consider the quadratic supersymmetric aspect of the Darboux transformation for the Green functions of the one-dimensional Dirac equation with a generalized form of the potential. We obtain the relation between the initial and the transformed Green functions on the whole real line. We also construct the formula for the unabridged trace of the difference of the transformed and the initial Green functions of the boundary problem on the whole real line. We present an example illustrated our developments.

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