NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (2), P. 173–181
Time-dependent quantum graph
D. U. Matrasulov – Turin Polytechnic University in Tashkent; National University of Uzbekistan, Uzbekistan; firstname.lastname@example.org
J. R. Yusupov – Turin Polytechnic University in Tashkent, Uzbekistan
K. K. Sabirov – National University of Uzbekistan, Uzbekistan
Z. A. Sobirov – National University of Uzbekistan; Tashkent Financial Institute, Uzbekistan
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