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Nanosystems: Physics, Chemistry, Mathematics, 2024, Volume 15, Issue 2, Pages 155–159
DOI: https://doi.org/10.17586/2220-8054-2024-15-2-155-159 (Mi nano1257) 		 
MATHEMATICS

Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field

Alina S. Melikhova, Anton I. Popov, Irina V. Blinova, Igor Yu. Popov

ITMO University, St. Petersburg, Russia
Full-text PDF (1132 kB)
DOI: https://doi.org/10.17586/2220-8054-2024-15-2-155-159
Abstract: The Schrödinger operators with constant magnetic field in a bent chain and Y-type chain of coupled balls are considered. Coupling exists due to point-like openings at the touching points of neighbor spheres. The mathematical background of the model is the theory of self-adjoint extensions of symmetric operators. The spectral equations for the model operators in each case were derived and analyzed.
Keywords: spectrum, operator extensions theory, balls chain, magnetic field.
Funding agency Grant number
Russian Science Foundation 23-21-00096
The work was supported by Russian Science Foundation (grant number 23-21-00096 https://rscf.ru/en/project/23-21-00096/).
Received: 23.05.2023
Revised: 27.07.2023
Document Type: Article
Language: English
Citation: Alina S. Melikhova, Anton I. Popov, Irina V. Blinova, Igor Yu. Popov, “Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field”, Nanosystems: Physics, Chemistry, Mathematics, 15:2 (2024), 155–159
Citation in format AMSBIB
\Bibitem{MelPopBli24}
\by Alina~S.~Melikhova, Anton~I.~Popov, Irina~V.~Blinova, Igor~Yu.~Popov
\paper Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2024
\vol 15
\issue 2
\pages 155--159
\mathnet{http://mi.mathnet.ru/nano1257}
\crossref{https://doi.org/10.17586/2220-8054-2024-15-2-155-159}
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