Long-range Scattering Matrix for Schr\"odinger-type Operators
Mathematical Physics
2022-12-14 v3 Analysis of PDEs
math.MP
Abstract
We show that the scattering matrix for a class of Schr\"odinger-type operators with long-range perturbations is a Fourier integral operator with the phase function which is the generating function of the modified classical scattering map.
Cite
@article{arxiv.1804.05488,
title = {Long-range Scattering Matrix for Schr\"odinger-type Operators},
author = {Shu Nakamura},
journal= {arXiv preprint arXiv:1804.05488},
year = {2022}
}