Matrix Schrödinger operator with δ-interactions


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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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