New trends in the description of ion-atom collisions by time-dependent quantum methods

Recent developments in the theory of ion-atom collisions are briefly reviewed. We focus on methods, which in principle aim at a full solution of the time-dependent Schroedinger 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 basis states, is presented in some detail. Selected results are discussed for antiprotons colliding with hydrogen atoms and helium ions