We study the problem of surface scattering in (4)Helium at T = 0K. Sta
rting with the microscopic superfluid theory of Beliaev [1] in a real
space formulation [2] we derive an equation of motion for the quasipar
ticles valid in bulk helium, through the surface and in the vacuum. Th
is equation contains the physics necessary to calculate the different
evaporation probabilities, and, in particular, the formalism retains t
he diffuse nature of the surface of liquid helium and the non-locality
of the helium-helium interaction. We solve the equation numerically a
nd we present results for oblique incidence and for a range of quasipa
rticle energies.