The formation and decay of multiply excited projectiles during collisions o
f slow highly charged ions with metal and insulator surfaces have been simu
lated based on a classical over-barrier model. Simulations including the fu
ll trajectory of the projectile have recently allowed the simultaneous eval
uation of projectile kinetic energy gains, final charge-state distributions
and emitted Auger electron yields in reasonable agreement with experiments
. Due to the many-electron nature of these interactions, no detailed quantu
m mechanical calculations are available. In contrast, for low charge states
of the incident ion, quantum mechanical close-coupling calculations have b
een performed that provide detailed information on resonance formation, hyb
ridization, and electron transfer, including the effects of external electr
ic fields. In this paper, some aspects of ion-surface collisions are review
ed within both (many-electron) over-barrier models and quantum mechanical s
ingle-electron expansion methods. (C) 1999 Elsevier Science B.V. All rights
reserved.