Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities
Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities
We study one-dimensional scattering for a decaying potential with rapid periodic oscillations and strong localized singularities. In particular, we consider the Schrödinger equation for and . Here has mean zero and as . The distorted plane waves of are solutions of the form , outgoing as . We derive their …