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Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 5, Pages 505–510
DOI: https://doi.org/10.17586/2220-8054-2019-10-5-505-510 (Mi nano463) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Transparent vertex boundary conditions for quantum graphs: simplified approach

M. M. Aripova, K. K. Sabirovb, J. R. Yusupovc

a National University of Uzbekistan, Vuzgorodok, Tashkent, Uzbekistan
b Tashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent, Uzbekistan
c Turin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
Full-text PDF (362 kB) Citations (4)
DOI: https://doi.org/10.17586/2220-8054-2019-10-5-505-510
URL: http://nanojournal.ifmo.ru/en/articles-2/volume10/10-5/mathematics/paper01/
Abstract: We consider quantum graphs providing reflectionless wave transmission at the vertices. Imposing Kuska’s version of so-called absorbing boundary conditions we derive the constraints, which make usual continuity and Kirchhoff conditions equivalent to transparent boundary conditions.
Keywords: quantum graph, transparent boundary conditions, ballistic transport, wave packet dynamics.
Received: 14.10.2019
Revised: 18.10.2019
Bibliographic databases:
Document Type: Article
PACS: 03.65.Aa, 02.60.Cb, 05.60.Gg
Language: English
Citation: M. M. Aripov, K. K. Sabirov, J. R. Yusupov, “Transparent vertex boundary conditions for quantum graphs: simplified approach”, Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019), 505–510
Citation in format AMSBIB
\Bibitem{AriSabYus19}
\by M.~M.~Aripov, K.~K.~Sabirov, J.~R.~Yusupov
\paper Transparent vertex boundary conditions for quantum graphs: simplified approach
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2019
\vol 10
\issue 5
\pages 505--510
\mathnet{http://mi.mathnet.ru/nano463}
\crossref{https://doi.org/10.17586/2220-8054-2019-10-5-505-510}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000495968100001}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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