vix.ing · top · new · best · stats · spec

On the instability of eigenvalues

2011/01/05 by Sylvain Golenia, Golenia, Sylvain
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.FA #math.MP #math.SP

paper · pdf · doi:10.48550/arxiv.1101.1002

to appear in "Cluj University Press"

arxiv created 2011/01/05 · arxiv updated 2011/01/07

Abstract

This is the proceeding of a talk given in Workshop on Differential Geometry and its applications at Alexandru Ioan Cuza University Iaşi, 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.

Related