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Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 2, Pages 171–178
DOI: https://doi.org/10.17586/2220-8054-2018-9-2-171-178 (Mi nano149) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

A model of electron transport through a boson cavity

A. A. Boitseva, J. Brascheb, H. Neidhardtc, I. Y. Popova

a ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
b Institut für Mathematik, TU Clausthal, Erzstr. 1, D-38678 Clausthal-Zellerfeld, Germany
c Weierstrass Institute, Mohrenstr. 39, D-10117 Berlin, Germany
Full-text PDF (230 kB) Citations (3)
DOI: https://doi.org/10.17586/2220-8054-2018-9-2-171-178
Abstract: We propose a model describing electronic transport through a boson cavity. We use the Jaynes–Cummings model dealing with a two-level quantum dot coupled to a quantized electro-magnetic field and two semi-infinite wires. The mathematical background of our model is given by the theory of self-adjoint extensions of symmetric operators. Using the boundary triplets approach, the gamma-field and the Weyl function were calculated. In addition, we obtained the scattering matrix for the model system.
Keywords: boundary triplets, extensions, scattering, solvable model.
Funding agency Grant number
Russian Science Foundation 16-11-10330
Deutsche Forschungsgemeinschaft BR 1686/3-1
NE 1439/3-1
This work was partially financially supported by grant 16-11-10330 of Russian Science Foundation, by DFG Grants BR 1686/3-1, NE 1439/3-1.
Received: 21.02.2018
Revised: 01.03.2018
Bibliographic databases:
Document Type: Article
PACS: 85.60.Jb, 88.40.H, 85.35.Be, 73.63.Kv, 42.50.Pq
Language: English
Citation: A. A. Boitsev, J. Brasche, H. Neidhardt, I. Y. Popov, “A model of electron transport through a boson cavity”, Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018), 171–178
Citation in format AMSBIB
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\by A.~A.~Boitsev, J.~Brasche, H.~Neidhardt, I.~Y.~Popov
\paper A model of electron transport through a boson cavity
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2018
\vol 9
\issue 2
\pages 171--178
\mathnet{http://mi.mathnet.ru/nano149}
\crossref{https://doi.org/10.17586/2220-8054-2018-9-2-171-178}
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\elib{https://elibrary.ru/item.asp?id=32760266}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Nanosystems: Physics, Chemistry, Mathematics
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