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Zapiski Nauchnykh Seminarov POMI, 2025, Volume 541, Pages 30–50 (Mi znsl7560)  
On the deficiency indices of matrix Schrödinger operators with point interactions and some classes of perturbed block Jacobi matrices

V. Budykaabc, I. Pokrovskiid

a Donetsk Academy of Management and Public Administration
b Institute of Applied Mathematics and Mechanics, Donetsk
c Saint Petersburg State University
d Bauman Moscow State Technical University
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Abstract: In the article we present new conditions of maximality of deficiency indices of matrix Schrödinger operators with point interactions. Also we found new conditions of self-adjointness and maximality of deficiency indices of some class of perturbed block Jacobi operators. Conditions of discreteness of their spectrum are also obtained.
Key words and phrases: Schrodinger operator, point interactions, deficiency indices, self-adjointness, block Jacobi matrix, perturbation.
Funding agency Grant number
Russian Science Foundation 23-11-00153
Ministry of Science and Higher Education of the Russian Federation 1023020800027-5-1.1.1
Received: 12.09.2025
Document Type: Article
UDC: 517.984.4
Language: Russian
Citation: V. Budyka, I. Pokrovskii, “On the deficiency indices of matrix Schrödinger operators with point interactions and some classes of perturbed block Jacobi matrices”, Mathematical problems in the theory of wave propagation. Part 54, Zap. Nauchn. Sem. POMI, 541, POMI, St. Petersburg, 2025, 30–50
Citation in format AMSBIB
\Bibitem{BudPok25}
\by V.~Budyka, I.~Pokrovskii
\paper On the deficiency indices of matrix Schr\"{o}dinger operators with point interactions and some classes of perturbed block Jacobi matrices
\inbook Mathematical problems in the theory of wave propagation. Part~54
\serial Zap. Nauchn. Sem. POMI
\yr 2025
\vol 541
\pages 30--50
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7560}
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