1206.5890 (D. U. Matrasulov et al.)

Time-dependent quantum graph    [PDF]

D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov

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.

View original: http://arxiv.org/abs/1206.5890