Matrix Schrödinger operator with δ-interactions
- Authors: Kostenko A.S.1, Malamud M.M.2, Natyagailo D.D.2
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Affiliations:
- University of Vienna
- Institute of Applied Mathematics and Mechanics
- Issue: Vol 100, No 1-2 (2016)
- Pages: 49-65
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149556
- DOI: https://doi.org/10.1134/S0001434616070051
- ID: 149556
Cite item
Abstract
The matrix Schrödinger operator with point interactions on the semiaxis is studied. Using the theory of boundary triplets and the corresponding Weyl functions, we establish a relationship between the spectral properties (deficiency indices, self-adjointness, semiboundedness, etc.) of the operators under study and block Jacobi matrices of certain class.
About the authors
A. S. Kostenko
University of Vienna
Author for correspondence.
Email: Oleksiy.Kostenko@univie.ac.at
Austria, Vienna
M. M. Malamud
Institute of Applied Mathematics and Mechanics
Email: Oleksiy.Kostenko@univie.ac.at
Ukraine, Donetsk
D. D. Natyagailo
Institute of Applied Mathematics and Mechanics
Email: Oleksiy.Kostenko@univie.ac.at
Ukraine, Donetsk
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