Time-dependent quantum graph

Davron U. Matrasulov, Jambul Yusupov, K.K. Sabirov, Zarifboy A. Sobirov · arXiv (Cornell University) · 2012

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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