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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
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.
Received: 17.02.2016 Revised: 25.02.2016
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
Linking options:
https://www.mathnet.ru/eng/mzm11122https://doi.org/10.4213/mzm11122 https://www.mathnet.ru/eng/mzm/v100/i1/p59
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Abstract page: | 662 | Full-text PDF : | 199 | References: | 75 | First page: | 39 |
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