Relation between full traces of Green functions for initial and Darboux transformed Dirac problems

Details Relation between full traces of Green functions for initial and Darboux transformed Dirac problems Relation between full traces of Green functions for initial and Darboux transformed Dirac problems

2007-09-19

arxiv.org/abs/0709.3067v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, no figures

Scientific paper

We establish the relation between full traces of the Green functions for some initial and the Darboux transformed one-dimensional two component Dirac problems with the most general form of potential. The result is used to check the completeness of set of wave functions obtained by the Darboux transformation of the eigenfunctions set for the initial Dirac problem with some typical boundary conditions.

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