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 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
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}
Linking options:
  • https://www.mathnet.ru/eng/nano463
  • https://www.mathnet.ru/eng/nano/v10/i5/p505
    • This publication is cited in the following 4 articles:
    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:142
    Full-text PDF :63
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024