Formation of a quasistationary state by Gaussian wave packet scattering on a lattice of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>identical delta potentials

Abstract

It is considered a Gaussian quantum wave packet scattering on the finite periodic lattice composed of $N$ identical $\ensuremath{\delta}$ barriers or $\ensuremath{\delta}$ wells. The parameters of general theory are expressible through the characteristics of wave packet and lattice. We explain the results of numerical simulation for the processes in the lattice of $N=50$ $\ensuremath{\delta}$ barriers. The directly measurable in the experiments probability of the particle finding in lattice, the local probability density, and the probability current are founded.