D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov, “Time-dependent quantum graph”, Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2,Pages <nobr>173

This article is cited in 7 papers

Time-dependent quantum graph

D. U. Matrasulov^ab, J. R. Yusupov^a, K. K. Sabirov^b, Z. A. Sobirov^bc

^a Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan
^b National University of Uzbekistan, 100174, Tashkent, Uzbekistan
^c Tashkent Financial Institute, 60A, Amir Temur Str., 100000, Tashkent, Uzbekistan

Abstract: In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics are treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. The time-dependence of the average kinetic energy is analyzed. The space-time evolution of a Gaussian wave packet is treated for an harmonically breathing star graph.

Keywords: quantum graph, time-dependent boundary conditions, wave packet dynamics.

PACS: 03.65.Aa, 03.65.Ge

Received: 02.02.2015

Language: English

DOI: 10.17586/2220-8054-2015-6-2-173-181