Time-dependent quantum graph
https://doi.org/10.17586/2220-8054-2015-6-2-173-181
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.
Supporting agencies: This work was supported in part by a research grant of Third World Academy of Sciences (Ref. 12-144RG/PHYS/AS G).
About the Authors
D. U. Matrasulov
Turin Polytechnic University in Tashkent; National University of Uzbekistan
Uzbekistan
Uzbekistan
17. Niyazov Str., 100095, Tashkent
100174, Tashkent
J. R. Yusupov
Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
17. Niyazov Str., 100095, Tashkent
K. K. Sabirov
National University of Uzbekistan
Uzbekistan
Uzbekistan
100174, Tashkent
Z. A. Sobirov
National University of Uzbekistan; Tashkent Financial Institute
Uzbekistan
Uzbekistan
100174, Tashkent
60A, Amir Temur Str., 100000, Tashkent
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Review
For citations:
Matrasulov D.U., Yusupov J.R., Sabirov K.K., Sobirov Z.A. Time-dependent quantum graph. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(2):173-181. https://doi.org/10.17586/2220-8054-2015-6-2-173-181
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