Exact numerical solutions of the time dependent Schroedinger equation, TDSE
, of one and two electron molecules and ions allow us to investigate the hi
ghly nonlinear, nonperturbative behavior of such systems in the presence of
ultrashort (t < 50 femtoseconds), intense (I greater than or equal to 10(1
4) W/cm(2)) laser pulses. Quasistatic models of ionization lead to a qualit
ative understanding of a universal phenomenon occurring in these extreme co
nditions: Charge Resonance Enhanced Ionization, CREI. Exact non-Born Oppenh
eimer TDSE simulations of the dissociative-ionization of H-2(+) lead to the
conclusion that CREI is responsible for anomalous kinetic energy distribut
ions observed in Coulomb Explosion experiments, i.e., Coulomb explosions ar
e non-Franck-Condon and occur at critical internuclear distances R-c and ge
ometries. Analytic formulas are obtained for R-c which are shown to arise f
rom charge resonance or transfer induced at the maximum field strength of t
he laser fields.