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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 59–77
DOI: https://doi.org/10.4213/mzm11122 (Mi mzm11122) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Matrix Schrödinger Operator with $\delta$-Interactions

A. S. Kostenkoa, M. M. Malamudb, D. D. Natyagajlob

a University of Vienna, Austria
b Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine
Full-text PDF (634 kB) Citations (16)
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DOI: https://doi.org/10.4213/mzm11122
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.
Keywords: Schrödinger operator, Jacobi matrix, delta-interaction, self-adjointness, deficiency index.
Funding agency Grant number
Austrian Science Fund P 26060
The work of A. S. Kostenko was supported by the Austrian Science Foundation (FWF) under grant R 26060.
Received: 17.02.2016
Revised: 25.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 49–65
DOI: https://doi.org/10.1134/S0001434616070051
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. S. Kostenko, M. M. Malamud, D. D. Natyagajlo, “Matrix Schrödinger Operator with $\delta$-Interactions”, Mat. Zametki, 100:1 (2016), 59–77; Math. Notes, 100:1 (2016), 49–65
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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