Abstract
We present the first numerical results of a multichannel theory for resonant charge exchange in ion-surface scattering at grazing incidence. The time-dependent Schr\"odinger equation describing resonant exchange can be solved in the adiabatic approximation for the slow perpendicular motion. As an initial application the state dependence of the distance of formation in the $\mathrm{H}(n=2)$ following specular reflection of protons at a gold surface is determined.
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