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Nanosystems: Physics, Chemistry, Mathematics, 2020, Volume 11, Issue 2, Pages 145–152
DOI: https://doi.org/10.17586/2220-8054-2020-11-2-145-152 (Mi nano508) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Particle transport in a network of quantum harmonic oscillators

J. R. Yusupova, Kh. Sh. Matyokubovb, K. K. Sabirovc

a Turin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
b Urgench State University, 14 H. Olimjon Str., 220100, Urgench, Uzbekistan
c Tashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent Uzbekistan
Full-text PDF (679 kB) Citations (2)
DOI: https://doi.org/10.17586/2220-8054-2020-11-2-145-152
URL: http://nanojournal.ifmo.ru/en/articles-2/volume11/11-2/mathematics/paper03/
Abstract: In this paper, we address the problem of a particle dynamics in a network of quantum harmonic oscillators by solving the stationary Schrödinger equation on metric graphs in the presence of harmonic oscillator potential with bond-dependent frequency. Particle transport is analyzed by considering wave packet dynamics in such a system modeled in terms of quantum graph.
Keywords: quantum graph, harmonic oscillator, particle transport, wave packet dynamics.
Received: 13.02.2020
Revised: 24.02.2020
Bibliographic databases:
Document Type: Article
PACS: 03.65.Aa, 02.60.Cb, 05.60.Gg
Language: English
Citation: J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov, “Particle transport in a network of quantum harmonic oscillators”, Nanosystems: Physics, Chemistry, Mathematics, 11:2 (2020), 145–152
Citation in format AMSBIB
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\by J.~R.~Yusupov, Kh.~Sh.~Matyokubov, K.~K.~Sabirov
\paper Particle transport in a network of quantum harmonic oscillators
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2020
\vol 11
\issue 2
\pages 145--152
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\crossref{https://doi.org/10.17586/2220-8054-2020-11-2-145-152}
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\elib{https://elibrary.ru/item.asp?id=46750561}
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