Scattering process 12 Atoms 6 Diffraction 4 Dinger equation 4 Eikonal approximations 4 Interaction potentials 4 Non-homogeneous 4 Scattering 4 Surface scattering 4 Transition amplitudes 4 Ab initio 2 Analytic expressions 2 Analytical results 2 Angular momentum 2 Approximation theory 2 Asymptotic analysis 2 Asymptotic behaviour 2 Axial surface channeling 2 Axisymmetric vortex 2 Basis functions 2 Beam collimation 2 Bose-Einstein condensates 2 Bose-Einstein condensation 2 Bound state 2 Calculations 2 Closed form solutions 2 Coherence 2 Coherent light 2 Computational requirements 2 Crystallographic directions 2