Scattering from infinite sheets

The existence and completeness is proved of the wave operators for quantum-mechanical scattering by a potential which does not decrease to zero at infinity in two of the three space directions. A new abstract result is also obtained concerning the continuous dependence of the wave operators on the potential. The physical situation envisaged is the scattering of a particle which passes at high velocity through a thin foil, considered as extending to infinity in the directions perpendicular to the motion of the particle. (author)