Inverse spectral problems for Dirac operators with summable potentials

S. Albeverio; R. Hryniv; Ya. Mykytyuk

Inverse spectral problems for Dirac operators with summable potentials

Spectral Theory 2007-05-23 v1 Mathematical Physics math.MP

Authors: S. Albeverio , R. Hryniv , Ya. Mykytyuk

Abstract

The spectral properties of Dirac operators on $(0,1)$ with potentials that belong entrywise to $L_p(0,1)$ , for some $p\in[1,\infty)$ , are studied. The algorithm of reconstruction of the potential from two spectra or from one spectrum and the corresponding norming constants is established, and a complete solution of the inverse spectral problem is provided.

Keywords

dirac operators spectral theory operator theory and elliptic operators

Cite

@article{arxiv.math/0701158,
  title  = {Inverse spectral problems for Dirac operators with summable potentials},
  author = {S. Albeverio and R. Hryniv and Ya. Mykytyuk},
  journal= {arXiv preprint arXiv:math/0701158},
  year   = {2007}
}

Comments

25 pages

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