najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-6-767-772najo-892Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEQuantum dynamics of hydrogen-like atom in one-dimensional box with oscillating wallsRakhmanovS.

100174, Tashkent

KarpovaO.

100174, Tashkent

17. Niyazov Str., 100095, Tashkent

ola_july@mail.ruRakhimboevaD. R.

100148, Tashkent

KhashimovaF.

27 Janubiy str., Navoiy

BabajanovD.

17. Niyazov Str., 100095, Tashkent

National University of UzbekistanUzbekistanNational University of Uzbekistan ; Turin Polytechnic University in TashkentUzbekistanTashkent Transport CollegeUzbekistanNavoiy State Mining InstituteUzbekistanTurin Polytechnic University in TashkentUzbekistan20151508202566767772Copyright © Rakhmanov S., Karpova O., Rakhimboeva D.R., Khashimova F., Babajanov D., 20252025Rakhmanov S., Karpova O., Rakhimboeva D.R., Khashimova F., Babajanov D.Rakhmanov S., Karpova O., Rakhimboeva D.R., Khashimova F., Babajanov D.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/892

The quantum dynamics of a hydrogen-like atom confined in one-dimensional box with oscillating walls is studied. The description of the system is reduced to a one-dimensional Schr¨odinger equation for Coulomb potential with time-dependent boundary conditions, which is solved numerically. Using the obtained solution, the average kinetic energy and binding energies are calculated as a function of time. It is found that both the average kinetic energy and the binding energies are periodic in time with the period depending on the wall’s oscillation parameters. The probability density is also analyzed as a function of time and coordinate.

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