Time-dependent quantum graph
  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. 
D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov
cond-mat.mes-hall cond-mat.dis-nn math-ph math.MP nlin.SI