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Time-dependent quantum graph

Published 26 Jun 2012 in cond-mat.mes-hall, cond-mat.dis-nn, math-ph, math.MP, and nlin.SI | (1206.5890v1)

Abstract: 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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