  We develop a multidimensional coupled channel method suitable for studying
the interplay of bound state resonance and phonon assisted scattering of inert
gas atoms from solid surfaces in one, two and three dimensions. This enables us
to get insight into the features that depend on the dimensionality of inelastic
resonant processes typically encountered in low energy He atom scattering from
surfaces, in general, and to elaborate on the observability of recently
conjectured near threshold resonances in scattering from Einstein phonons, in
particular.
