Workshop - Champs magnétiques et analyse semi-classique

Jeudi, 21 Mai, 2015 - 17:10 - 17:55
Frédéric Hérau
Université de Nantes
Toward pure magnetic tunnelling effect
Résumé: 

For the semiclassical magnetic Schrödinger operator, the tunnelling effect, that is the asymptotic expansion of the splitting of the first eigenvalues in case of multiple confining wells, is so far not completely understood. We present here some complete results in dimension 1, and partial results in larger dimension including first known WKB extensions and refined estimates of the splitting, following a Born-Oppenheimer strategy of dimensional reduction.

This is based on joint works with V. Bonnaillie-Noël and N. Raymond.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL