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Nanosystems: Physics, Chemistry, Mathematics, 2021, Volume 12, Issue 4, Pages 425–429
DOI: https://doi.org/10.17586/2220-8054-2021-12-4-425-429 (Mi nano1036) 		 
MATHEMATICS

Dirac operator with different potentials on edges of quantum graph: resonance asymptotics

A. G. Belolipetskaia, I. Yu. Popov

ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
Full-text PDF (172 kB)
DOI: https://doi.org/10.17586/2220-8054-2021-12-4-425-429
URL: https://nanojournal.ifmo.ru/en/articles-2/volume12/12-4/mathematics/paper03
Abstract: Asymptotics of resonances for the Dirac operator with different potentials on edges of a quantum graph with the Kirchhoff coupling conditions at vertices is studied. The results are obtained for a quantum graph that consists of a compact interior and a finite number of exterior edges of infinite length connected to the interior.
Keywords: quantum graph, Dirac operator, asymptotics, resonance.
Received: 18.07.2018
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. G. Belolipetskaia, I. Yu. Popov, “Dirac operator with different potentials on edges of quantum graph: resonance asymptotics”, Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021), 425–429
Citation in format AMSBIB
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\by A.~G.~Belolipetskaia, I.~Yu.~Popov
\paper Dirac operator with different potentials on edges of quantum graph: resonance asymptotics
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2021
\vol 12
\issue 4
\pages 425--429
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\crossref{https://doi.org/10.17586/2220-8054-2021-12-4-425-429}
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