Semiclassical Estimates for Scattering on the Real Line
Analysis of PDEs
2020-07-06 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Spectral Theory
Abstract
We prove explicit semiclassical resolvent estimates for an integrable potential on the real line. The proof is a comparatively easy case of the spherical energies method, which has been used to prove similar theorems in higher dimensions and in more complicated geometric situations. The novelty in our results lies in the weakness of the assumptions on the potential.
Cite
@article{arxiv.1903.02743,
title = {Semiclassical Estimates for Scattering on the Real Line},
author = {Kiril Datchev and Jacob Shapiro},
journal= {arXiv preprint arXiv:1903.02743},
year = {2020}
}
Comments
7 pages