Quantum dynamics in a kicked square billiards
https://doi.org/10.17586/2220-8054-2015-6-2-216-223
Аннотация
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.
Об авторах
S. Rakhmanov
National University of Uzbekistan
Узбекистан
Узбекистан
D. Babajanov
Turin Polytechnic University in Tashkent
Узбекистан
Узбекистан
O. Karpova
National University of Uzbekistan; Turin Polytechnic University in Tashkent
Узбекистан
Узбекистан
F. Khoshimova
Navoi State Mining Institute
Узбекистан
Узбекистан
Список литературы
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Рецензия
Для цитирования:
, , , . Наносистемы: физика, химия, математика. 2015;6(2):216-223. https://doi.org/10.17586/2220-8054-2015-6-2-216-223
For citation:
Rakhmanov S., Babajanov D., Karpova O., Khoshimova F. Quantum dynamics in a kicked square billiards. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(2):216-223. https://doi.org/10.17586/2220-8054-2015-6-2-216-223
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