On the instability of eigenvalues

Details On the instability of eigenvalues On the instability of eigenvalues

2011-01-05

arxiv.org/abs/1101.1002v1

Mathematics

Spectral Theory

to appear in "Cluj University Press"

Scientific paper

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.

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