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Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 4, Pages 420–425
DOI: https://doi.org/10.17586/2220-8054-2017-8-4-420-425 (Mi nano57) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Time dependent quantum graph with loop

D. A. Eremina, E. N. Grishanova, O. G. Kostrova, D. S. Nikiforovb, I. Yu. Popovb

a Department of Mathematics and IT, Ogarev Mordovia State University Bolshevistskaya Str. 68, Saransk, Russia
b Department of Higher Mathematics, ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia
Full-text PDF (269 kB) Citations (2)
DOI: https://doi.org/10.17586/2220-8054-2017-8-4-420-425
Abstract: A quantum graph, consisting of a ring and segment is considered. We deal with the free Schrödinger ooperator at the edges and Kirchhoff conditions at the internal vertex. The lengths of the graph edges varies in time. Time evolution of wave packet is studied for different parameters of length varying law.
Keywords: quantum graph, spectrum, time evolution.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 074-U01
MK-5161.2016.1
Deutsche Forschungsgemeinschaft NE1439/3-1
Russian Science Foundation 16-11-10330
This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by grant MK-5161.2016.1 of the President of the Russian Federation, DFG Grant NE 1439/3-1, by grant 16-11-10330 of Russian Science Foundation.
Received: 26.05.2017
Revised: 20.06.2017
Document Type: Article
PACS: 03.65.-w, 02.30.Tb, 02.10.Db, 73.63.Nm
Language: English
Citation: D. A. Eremin, E. N. Grishanov, O. G. Kostrov, D. S. Nikiforov, I. Yu. Popov, “Time dependent quantum graph with loop”, Nanosystems: Physics, Chemistry, Mathematics, 8:4 (2017), 420–425
Citation in format AMSBIB
\Bibitem{EreGriKos17}
\by D.~A.~Eremin, E.~N.~Grishanov, O.~G.~Kostrov, D.~S.~Nikiforov, I.~Yu.~Popov
\paper Time dependent quantum graph with loop
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2017
\vol 8
\issue 4
\pages 420--425
\mathnet{http://mi.mathnet.ru/nano57}
\crossref{https://doi.org/10.17586/2220-8054-2017-8-4-420-425}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Nanosystems: Physics, Chemistry, Mathematics
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