najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2020-11-2-145-152najo-437Research ArticleMATHEMATICSМАТЕМАТИКАParticle transport in a network of quantum harmonic oscillatorsYusupovJ. R.

17 Niyazov Str., 100095, Tashkent

jambul.yusupov@gmail.comMatyokubovKh. Sh.

14 H. Olimjon Str., 220100, Urgench

SabirovK. K.

108 Amir Temur Str., 100200, Tashkent 

Turin Polytechnic University in TashkentUzbekistanUrgench State UniversityUzbekistanTashkent University of Information TechnologiesUzbekistan202030072025112145–152Copyright © Yusupov J.R., Matyokubov K.S., Sabirov K.K., 20252025Yusupov J.R., Matyokubov K.S., Sabirov K.K.Yusupov J.R., Matyokubov K.S., Sabirov K.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/437

In this paper, we address the problem of a particle dynamics in a network of quantum harmonic oscillators by solving the stationary Schrodinger¨ 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.

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The authors declare that there are no conflicts of interest present.