Limiting absorption principle and radiation conditions for Schr\"odinger operators with long-range potentials
Mathematical Physics
2024-07-03 v2 math.MP
Abstract
We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schr\"odinger operators with long-range potentials, extending and refining previously known results. Our general method is based on elementary commutator estimates, largely following the scheme developed recently by Ito and Skibsted.
Keywords
Cite
@article{arxiv.2209.03291,
title = {Limiting absorption principle and radiation conditions for Schr\"odinger operators with long-range potentials},
author = {Martin Dam Larsen},
journal= {arXiv preprint arXiv:2209.03291},
year = {2024}
}
Comments
Revised and extended, significant strengthening of Theorem 1.3; published version