Geometric Scattering for Schr\"odinger Operators with Asymptotically Homogeneous Potentials of Order Zero
Mathematical Physics
2016-05-02 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1604.08674,
title = {Geometric Scattering for Schr\"odinger Operators with Asymptotically Homogeneous Potentials of Order Zero},
author = {Keita Mikami},
journal= {arXiv preprint arXiv:1604.08674},
year = {2016}
}