Comparing exact and separated quantum dynamics for a system of three particles each living on a linear lattice of 16 sites, UM 2008-03-08

Left image: exact dynamics. Right image: separated dynamics. See article article9, lower part of p. 16 for an explanation of the images shown here. The main observation is that the difference of the twin images is mainly in overall color, which corresponds to a physically irrelevant phase factor in the wave function. Notice, however, that the change of this phase factor with time has a physical meaning.