Seminario Fismat | Nicolas Raymond (University of Rennes 1)

Survey on The Semiclassical Magnetic Laplacian

Abstract

In the first part of the talk, I will describe recent advances about the description of the discrete spectrum of the magnetic Laplacian, in the semiclassical limit. In the second part, I will describe two results in two dimensions, essentially in the case of a non-degenerate magnetic well: the Birkhoff normal forms and their applications (collaboration with S. Vu Ngoc) and the magnetic WKB constructions (collaboration with Y. Bonthonneau).