Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero (1604.08674v1)

Published 29 Apr 2016 in math-ph, math.AP, and math.MP

Abstract: In this paper we consider Schr\"oodinger operators with potentials of order zero on asymptotically conic manifolds. We prove the existence and the completeness of the wave operators with a naturally defined free Hamiltonian.