English

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

High Energy Physics - Theory 2007-09-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0709.3067,
  title  = {Relation between full traces of Green functions for initial and Darboux transformed Dirac problems},
  author = {Ekaterina Pozdeeva},
  journal= {arXiv preprint arXiv:0709.3067},
  year   = {2007}
}

Comments

12 pages, Latex, no figures

R2 v1 2026-06-21T09:19:11.712Z