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Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 2, Pages 131–140
DOI: https://doi.org/10.17586/2220-8054-2019-10-2-131-140 (Mi nano424) 		 
PHYSICS

A model of an electron in a quantum graph interacting with a two-level system

A. A. Boitsev, I. Yu. Popov

ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
Full-text PDF (270 kB)
DOI: https://doi.org/10.17586/2220-8054-2019-10-2-131-140
Abstract: A model of an electron in a quantum graph interacting with a two-level system is considered. The operator describing the model has the form of sum of tensor products. Self-adjoint extensions and a scattering matrix are written in terms of a boundary triplet, corresponding to the considered symmetric operator. Diagrams of reflection are calculated and numerical results are discussed.
Keywords: Aharonov-Bohm ring, nanostructure, quantum graph, scattering, solvable model.
Funding agency Grant number
Russian Science Foundation 16-11-10330
Ministry of Education and Science of the Russian Federation 08-08
This work was partially financially supported by the Government of the Russian Federation (grant 08-08), by grant 16-11-10330 of Russian Science Foundation.
Received: 01.03.2019
Revised: 30.03.2019
Bibliographic databases:
Document Type: Article
PACS: 03.65.Nk, 73.23.Ad
Language: English
Citation: A. A. Boitsev, I. Yu. Popov, “A model of an electron in a quantum graph interacting with a two-level system”, Nanosystems: Physics, Chemistry, Mathematics, 10:2 (2019), 131–140
Citation in format AMSBIB
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\paper A model of an electron in a quantum graph interacting with a two-level system
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2019
\vol 10
\issue 2
\pages 131--140
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\crossref{https://doi.org/10.17586/2220-8054-2019-10-2-131-140}
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