  Scattering dynamics are examined for Gaussian and non-Gaussian wave packets
with identical momentum densities. Average arrival time delays, dwell times,
and phase time delays are calculated for wave packets scattering from a square
barrier, and it is shown that the non-Gaussian wave packets exhibit different
average arrival time delays than the Gaussian wave packets. These differences
result from the non-linear terms in the momentum wave function phase of the
non-Gaussian wave packets, which alters the self-interaction times of the wave
packets. Control of the average arrival time delay can be achieved through
adjustment of the momentum wave function phase, independent of wave packet
energy and momentum density.
