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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 773-778

Kicked particle dynamics in quantum graphs

J. Yusupov – Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan; j.yusupov@polito.uz
V. Eshniyozov – National University of Uzbekistan, 100174, Tashkent, Uzbekistan
O. Karpova – Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent; National University of Uzbekistan, 100174, Tashkent, Uzbekistan
D. Sh. Saidov – Urganch Branch of Tashkent University of Information Technologies, Urganch, Uzbekistan

The quantum dynamics of a delta-kicked driven particle in a star-shaped network is studied by obtaining an exact solution for the time-dependent Schrödinger equation within a single kicking period. The timedependence of the average kinetic energy and the Gaussian wave packet evolution are analyzed.

Keywords: quantum graph,periodically kicked system,wave packet dynamics.

PACS 03.65.Aa, 03.65.Ge

DOI 10.17586/2220-8054-2015-6-6-773-778

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