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Matrix Schrödinger operator with δ-interactions

Mathematical Notes volume 100, pages 49–65 (2016)Cite this article

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.

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Authors and Affiliations

  1. University of Vienna, Vienna, Austria

    A. S. Kostenko

  2. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine

    M. M. Malamud & D. D. Natyagailo

Authors
  1. A. S. Kostenko
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  2. M. M. Malamud
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  3. D. D. Natyagailo
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Corresponding author

Correspondence to A. S. Kostenko.

Additional information

Original Russian Text © A. S. Kostenko, M. M. Malamud, D. D. Natyagailo, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 1, pp. 59–77.

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Kostenko, A.S., Malamud, M.M. & Natyagailo, D.D. Matrix Schrödinger operator with δ-interactions. Math Notes 100, 49–65 (2016). https://doi.org/10.1134/S0001434616070051

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  • DOI: https://doi.org/10.1134/S0001434616070051

Keywords

  • Schrödinger operator
  • Jacobi matrix
  • delta-interaction
  • self-adjointness
  • deficiency index