Geodesic
Time-dependent quantum graph
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 173-181.

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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. 
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     author = {D. U. Matrasulov and J. R. Yusupov and K. K. Sabirov and Z. A. Sobirov},
     title = {Time-dependent quantum graph},
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     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a1/}
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D. U. Matrasulov; J. R. Yusupov; K. K. Sabirov; Z. A. Sobirov. Time-dependent quantum graph. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 173-181. http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a1/