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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2024, Volume 9, Issue 4, Pages 682–688
DOI: https://doi.org/10.47475/2500-0101-2024-9-4-682-688 (Mi chfmj413) 		 
Physics

Influence of quantum graph parameters on the asymptotics of the number of resonances

A. G. Belolipetskaia, I. Yu. Popov

ITMO University, Saint Petersburg, Russia
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DOI: https://doi.org/10.47475/2500-0101-2024-9-4-682-688
Abstract: We study quantum graphs with the Dirac operator on edges and the Kirchhoff coupling condition at the vertices. The number of resonances is determined numerically. It is revealed how the parameters of the quantum graph (particularly, the topological structure and the volume of the quantum graph as well as the parameters of the Dirac operator) affect the number of resonances.
Keywords: quantum graph, Dirac operator, asymptotics, resonance.
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: 01.10.2023
Revised: 05.08.2024
Document Type: Article
UDC: 530.145
Language: English
Citation: A. G. Belolipetskaia, I. Yu. Popov, “Influence of quantum graph parameters on the asymptotics of the number of resonances”, Chelyab. Fiz.-Mat. Zh., 9:4 (2024), 682–688
Citation in format AMSBIB
\Bibitem{BelPop24}
\by A.~G.~Belolipetskaia, I.~Yu.~Popov
\paper Influence of quantum graph parameters on the asymptotics of the number of resonances
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2024
\vol 9
\issue 4
\pages 682--688
\mathnet{http://mi.mathnet.ru/chfmj413}
\crossref{https://doi.org/10.47475/2500-0101-2024-9-4-682-688}
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