Recent results concerning the high frequency, high intensity
stabilization regime of laser-atom interactions will be
discussed. Quantum simulations of atom interactions with very
short pulses leads to a break down of adiabatic stabilization,
with ionization occuring through shake-off processes. The
dynamics of the electron in the short laser pulse can be modelled
using two simple approximations. Quantum simulations have also
shown that the dipole approximation breaks down dramatically at
intensities for which the corresponding classical motion is
essentially nonrelativistic. Results depend strongly on the
laser frequency.The quantum calculations are compared and
contrasted with classical simulations.