Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-03
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex, no figures. Typos corrected, refences added
Scientific paper
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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