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Nanosystems: Physics, Chemistry, Mathematics, 2012, Volume 3, Issue 4, Pages 9–19 (Mi nano690)  
MATHEMATICS

Hamiltonian with zero-range potentials having infinite number of eigenvalues

A. A. Boitsev, I. Yu. Popov, O. V. Sokolov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Full-text PDF (128 kB)
URL: https://nanojournal.ifmo.ru/wp-content/uploads/2012/09/1.Boitsev.pdf
Abstract: Infinite chain of zero-range potentials having the Hamiltonian with infinite number of eigenvalues below the continuous spectrum is constructed. The model is based on the theory of self-adjoint extensions of symmetric operators.
Keywords: operator extensions theory, singular perturbation, point spectrum.
Bibliographic databases:
Document Type: Article
UDC: 517.968
PACS: 02.30.Tb, 42.25.Fx
Language: Russian
Citation: A. A. Boitsev, I. Yu. Popov, O. V. Sokolov, “Hamiltonian with zero-range potentials having infinite number of eigenvalues”, Nanosystems: Physics, Chemistry, Mathematics, 3:4 (2012), 9–19
Citation in format AMSBIB
\Bibitem{BoiPopSok12}
\by A.~A.~Boitsev, I.~Yu.~Popov, O.~V.~Sokolov
\paper Hamiltonian with zero-range potentials having infinite number of eigenvalues
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2012
\vol 3
\issue 4
\pages 9--19
\mathnet{http://mi.mathnet.ru/nano690}
\elib{https://elibrary.ru/item.asp?id=17953192}
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