Recent developments in the theory of ion-atom collisions are briefly review
ed. We focus on methods, which in principle aim at a full solution of the t
ime-dependent Schrodinger equation (TDSE) for the electronic motion in the
fields of the classically moving nuclei. In particular, the basis generator
method (BGM), a coupled-channel approach in terms of dynamically adapted b
asis states, is presented in some detail. Selected results are discussed fo
r antiprotons colliding with hydrogen atoms and helium ions. (C) 1999 Elsev
ier Science B.V. All rights reserved.