A new look at Mourre's commutator theory
Spectral Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Mourre's commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle from a so called Mourre estimate. We provide a new interpretation of this result.
Cite
@article{arxiv.math/0607275,
title = {A new look at Mourre's commutator theory},
author = {Sylvain Golénia and Thierry Jecko},
journal= {arXiv preprint arXiv:math/0607275},
year = {2007}
}