Preprint

Time-dependent quantum graph

D. U. MatrasulovInstitute for Applied Physics , National University of Uzbekistan , 100174 , Tashkent , UzbekistanJambul YusupovTurin Polytechnic University in Tashkent , 17. Niyazov Str. , 100095 , Tashkent , UzbekistanK.K. SabirovTurin Polytechnic University in Tashkent , 17. Niyazov Str. , 100095 , Tashkent , UzbekistanZ. A. SobirovTurin Polytechnic University in Tashkent , 17. Niyazov Str. , 100095 , Tashkent , Uzbekistan

2012en

ABI

Annotatsiya

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

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DOI: 10.48550/arxiv.1206.5890

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