On the Limiting Absorption Principle for Schr{\"o}dinger operators on waveguides
Spectral Theory
2019-02-07 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove a Limiting Absorption Principle for Schr{\"o}dinger operators in tubes about infinite curves embedded in the Euclidian space with different types of boundary conditions. The argument is based on the Mourre theory with conjugate operators different from the generator of dilations which is usually used in this case, and permits to prove a Limiting Absorption Principle for Schr{\"o}dinger operators in singular waveguides.
Keywords
Cite
@article{arxiv.1902.02054,
title = {On the Limiting Absorption Principle for Schr{\"o}dinger operators on waveguides},
author = {Alexandre Martin},
journal= {arXiv preprint arXiv:1902.02054},
year = {2019}
}
Comments
This article is a translation of a chapter of my PhD thesis