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Resonant charge transfer processes between slow H + ions from Al surfaces are studied. A one-electron time dependent Anderson-Newns Hamiltonian represented in a LCAO basis is used to model the ion-substrate charge transfer mechanism. Keldysh-Green functions are used to solve the non-equilibrium problem enabling us to obtain the population along the ion's trajectory. The theory reveals to be specially useful as it makes it possible to introduce the realistic 3-D electronic structure of the surface through the unperturbed Green's functions localized in the Al target site atom(s). Results for a realistic H + -Al collision with parallel velocity effects are discussed.