Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds

Kenichi Ito, Shu Nakamura

Let $M$ be a scattering manifold, i.e., a Riemannian manifold with asymptotically conic structure, and let $H$ be a Schrödinger operator on $M$. We can construct a natural time-dep…