Normal Forms for the Semiclassical Magnetic Laplacian

Hamiltonians in Magnetic Fields

04 October 15:30 - 16:30

Nicolas Raymond - University of Angers

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.
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen