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

2007/09/19 by E. O. Pozdeeva, Ekaterina Pozdeeva, Pozdeeva, Ekaterina · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.48550/arxiv.0709.3067

12 pages, Latex, no figures

arxiv created 2007/09/19 · openalex publication_date 2007/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Darboux transformation of boundary conditions of regular Dirac Sturm--Liouville problem

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