najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-2-216-223najo-924Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEQuantum dynamics in a kicked square billiardsRakhmanovS.

Faculty of Physics

Vuzgorodok, Tashkent 100174

BabajanovD.

17 Niyazov Str., Tashkent 100095

KarpovaO.

Faculty of Physics

Vuzgorodok, Tashkent 100174

17 Niyazov Str., Tashkent 100095

ola_july@mail.ruKhoshimovaF.

27 Janubiy ko’chasi, Navoiy

National University of UzbekistanUzbekistanTurin Polytechnic University in TashkentUzbekistanNational University of Uzbekistan; Turin Polytechnic University in TashkentUzbekistanNavoi State Mining InstituteUzbekistan20151408202562216223Copyright © Rakhmanov S., Babajanov D., Karpova O., Khoshimova F., 20252025Rakhmanov S., Babajanov D., Karpova O., Khoshimova F.Rakhmanov S., Babajanov D., Karpova O., Khoshimova F.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/924

We study kicked particle dynamics in a rectangular quantum billiard. The kicking potential is chosen as localized at the center of the billiard. The exact solution for the time-dependent Schr¨odinger equation for a single kicking period is derived. Using this solution, the time-dependence of the average kinetic energy and probability density as a function of spatial coordinates are computed. Different regimes for trapping of the particle in kicking area are analyzed. It is found that depending of the values of kicking parameters, the average kinetic energy can be a periodic or a monotonically growing function of time or can be suppressed. Such behavior is explained in terms of particle trapping regimes. Wave packet dynamics are also studied.

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