Nicolas Raymond: Normal Forms for the Semiclassical Magnetic Laplacian
Nicolas Raymond, University of Rennes 1
Tid: To 2012-10-04 kl 15.30 - 16.30
Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm
In this talk I will investigate the semiclassical magnetic Laplacian. I will explain how we can get a complete asymptotic expansion (in fractional powers of h) of the eigenvalues and of the eigenfunctions. In particular we will see how the semiclasscial magnetic Laplacian can be reduced to an electric Laplacian in the "Born-Oppenheimer form". If time permits, I will discuss the elements of a magnetic Birkhoff normal form.