Salle de Conférences
le 24 septembre 2019 à 11:30
I will present a new method based on normal form and pseudodifferential calculus to get spectral results on Schroedinger type operators on
. In the one dimensional case one obtains in a very simple way the classical result that the eigenvalues of a Schroedinger operator come in couple which are well separated one from the others and such that the two eigenvalues in a couple have the same asymptotic. In the higher dimensional case I will show how to obtain the asymptotic behavior of a large part of the spectrum of Schroedinger operators and prove some properties similar to those just described for the one dimensional case. Joint work with Beatrice Langella and Riccardo Montalto