We present a general treatment for the effect of time ordering in the
many-electron processes induced by charged-particle impact. We show th
at time ordering is essential in order to obtain odd power Z terms in
the cross section which is necessary to get different Values for posit
ively and negatively charged projectiles. A second-order calculation i
s performed for the double ionization of helium. The electron-electron
interaction is taken into account only by the shake-off term. The int
erference between the shake-off and second-order term is responsible o
nly for a part of the dependence of the cross sections on the sign of
the charge of the projectile.