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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2, Pages 173–181
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-173-181 (Mi nano930) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Time-dependent quantum graph

D. U. Matrasulovab, J. R. Yusupova, K. K. Sabirovb, Z. A. Sobirovbc

a Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan
b National University of Uzbekistan, 100174, Tashkent, Uzbekistan
c Tashkent Financial Institute, 60A, Amir Temur Str., 100000, Tashkent, Uzbekistan
Full-text PDF (399 kB) Citations (7)
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-173-181
Abstract: In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics are treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. The time-dependence of the average kinetic energy is analyzed. The space-time evolution of a Gaussian wave packet is treated for an harmonically breathing star graph.
Keywords: quantum graph, time-dependent boundary conditions, wave packet dynamics.
Funding agency Grant number
Third World Academy of Sciences 12-144RG/PHYS/AS_G
This work was supported in part by a research grant of Third World Academy of Sciences (Ref. 12-144RG/PHYS/AS_G).
Received: 02.02.2015
Bibliographic databases:
Document Type: Article
PACS: 03.65.Aa, 03.65.Ge
Language: English
Citation: D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov, “Time-dependent quantum graph”, Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015), 173–181
Citation in format AMSBIB
\Bibitem{MatYusSab15}
\by D.~U.~Matrasulov, J.~R.~Yusupov, K.~K.~Sabirov, Z.~A.~Sobirov
\paper Time-dependent quantum graph
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 2
\pages 173--181
\mathnet{http://mi.mathnet.ru/nano930}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-2-173-181}
\elib{https://elibrary.ru/item.asp?id=23238119 }
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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