Quantitative limiting absorption principle in the semiclassical limit
Analysis of PDEs
2017-05-12 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We give an elementary proof of Burq's resolvent bounds for long range semiclassical Schroedinger operators. Globally, the resolvent norm grows exponentially in the inverse semiclassical parameter, and near infinity it grows linearly. We also weaken the regularity assumptions on the potential.
Cite
@article{arxiv.1309.1112,
title = {Quantitative limiting absorption principle in the semiclassical limit},
author = {Kiril Datchev},
journal= {arXiv preprint arXiv:1309.1112},
year = {2017}
}
Comments
7 pages