arXiv:1206.5890 · Nanosystems Physics Chemistry Mathematics
Time-dependent quantum graph
Davron U. Matrasulov, Jambul Yusupov, K.K. Sabirov, Zarifboy A. Sobirov
Abstract
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.