Quantum dynamics of charge transfer on the one-dimensional lattice: Wave packet spreading and recurrence
Likhachev V N, Shevaleevskii O I, Vinogradov G A†,
       

Snapshots of the pulse in semi-infinite lattice att= 25 (solid line);t= 50 (dotted line);t= 75 (dashed line). Calculations according to Eq. (24). Empty circles: numeric integration of Eq. (4). The coincidence of the numeric and analytical results is also very good fort= 50 andt= 75 (mean square root error (MSRE) ≲ 10−4). Here,E= 1,C= 0.5,N= 200.