J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov, “Particle transport in a network of quantum harmonic oscillators”, Nanosystems: Physics, Chemistry, Mathematics, 2020, Volume 11, Issue 2,Pages <nobr>145

MATHEMATICS

Particle transport in a network of quantum harmonic oscillators

J. R. Yusupov^a, Kh. Sh. Matyokubov^b, K. K. Sabirov^c

^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

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.

PACS: 03.65.Aa, 02.60.Cb, 05.60.Gg

Received: 13.02.2020
Revised: 24.02.2020

Language: English

DOI: 10.17586/2220-8054-2020-11-2-145-152