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Time-dependent quantum graph

D. U. MatrasulovNational University of Uzbekistan, 100174, Tashkent, UzbekistanJambul YusupovNational University of Uzbekistan, 100174, Tashkent, UzbekistanK.K. SabirovNational University of Uzbekistan, 100174, Tashkent, UzbekistanZ. A. Sobirov
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Аннотация

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.

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