George Nenciu : Perturbation theory for discrete eigenvalues: Kato-Rellich theory and asymptotic expansions

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

Sept. 21, 2015, 4 p.m.

In

SEO 636

Abstract

Basic facts of Kato-Rellich regular perturbation for discrete eigenvalues are briefly reviewed. For singular perturbations (e.g. anharmonic oscillator, Stark effect) asymptotic expansions for the perturbed projections leading to (almost) invariant subspaces are provided. This is a two hour introductory talk intended mainly for graduate students.