Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero
Abstract
In this paper we consider Schröodinger 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2016
- DOI:
- 10.48550/arXiv.1604.08674
- arXiv:
- arXiv:1604.08674
- Bibcode:
- 2016arXiv160408674M
- Keywords:
-
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- 58J50;
- 35P25;
- 81U05