On the instability of eigenvalues

Sylvain Golenia (1)

1 IMB - Institut de Mathématiques de Bordeaux

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

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]; Analyse fonctionnelle [math.FA]

Sylvain Golenia. On the instability of eigenvalues. Geometry--Exploratory Workshop on Differential Geometry and its Applications, 2009, Romania. 71-75, Cluj Univ. Press, Cluj-Napoca. ⟨hal-00552181⟩