Quantum dynamics in a kicked square billiards
https://doi.org/10.17586/2220-8054-2015-6-2-216-223
Abstract
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.
About the Authors
S. Rakhmanov
National University of Uzbekistan
Uzbekistan
Uzbekistan
Faculty of Physics
Vuzgorodok, Tashkent 100174
D. Babajanov
Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
17 Niyazov Str., Tashkent 100095
O. Karpova
National University of Uzbekistan; Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
Faculty of Physics
Vuzgorodok, Tashkent 100174
17 Niyazov Str., Tashkent 100095
F. Khoshimova
Navoi State Mining Institute
Uzbekistan
Uzbekistan
27 Janubiy ko’chasi, Navoiy
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Review
For citations:
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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