J. R. Yusupov, V. Eshniyozov, O. V. Karpova, D. Sh. Saidov, “Kicked particle dynamics in quantum graphs”, Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 6,Pages <nobr>773

Kicked particle dynamics in quantum graphs

J. R. Yusupov^a, V. Eshniyozov^b, O. V. Karpova^ab, D. Sh. Saidov^c

^a Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan
^b National University of Uzbekistan, 100174, Tashkent, Uzbekistan
^c Urganch Branch of Tashkent University of Information Technologies, Urganch, Uzbekistan

Abstract: 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 time-dependence 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

Received: 01.11.2015

Language: English

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