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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
Аннотация:
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.
Ключевые слова:
quantum graph, harmonic oscillator, particle transport, wave packet dynamics.
Поступила в редакцию: 13.02.2020 Исправленный вариант: 24.02.2020
Образец цитирования:
J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov, “Particle transport in a network of quantum harmonic oscillators”, Наносистемы: физика, химия, математика, 11:2 (2020), 145–152
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano508 https://www.mathnet.ru/rus/nano/v11/i2/p145
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Страница аннотации: | 82 | PDF полного текста: | 67 |
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