On the instability of eigenvalues
Spectral Theory
2011-01-07 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
This is the proceeding of a talk given in Workshop on Differential Geometry and its applications at Alexandru Ioan Cuza University Ia\c{s}i, Romania, September 2--4, 2009. I explain how positive commutator estimates help in the analysis of embedded eigenvalues in a geometrical setting. Then, I will discuss the disappearance of eigenvalues in the perturbation theory and its relation with the Fermi golden rule.
Cite
@article{arxiv.1101.1002,
title = {On the instability of eigenvalues},
author = {Sylvain Golenia},
journal= {arXiv preprint arXiv:1101.1002},
year = {2011}
}
Comments
to appear in "Cluj University Press"