Classical intense-field stabilization (IFS), or suppression of photoio
nization, is investigated in three dimensions for various potentials.
It is shown numerically that IFS exists only for long-range potentials
under very general conditions. We show that this observation can be r
elated to the quantum-mechanical interpretation of IFS in which Raman
transitions via the continuum form a coherent superposition of a subse
t of the infinite set of eigenstates provided by a long-range potentia
l.