Nanosystems: Physics, Chemistry, Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Nanosystems: Physics, Chemistry, Mathematics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000466135600003}
\elib{https://elibrary.ru/item.asp?id=37417496}
Linking options:
  • https://www.mathnet.ru/eng/nano424
  • https://www.mathnet.ru/eng/nano/v10/i2/p131
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Nanosystems: Physics, Chemistry, Mathematics
    Statistics & downloads:
    Abstract page:114
    Full-text PDF :21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024