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.
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
\Bibitem{BoiPop19}
\by A.~A.~Boitsev, I.~Yu.~Popov
\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
\mathnet{http://mi.mathnet.ru/nano424}
\crossref{https://doi.org/10.17586/2220-8054-2019-10-2-131-140}
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\elib{https://elibrary.ru/item.asp?id=37417496}
Citation in format AMSBIB
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