Olivier Lafitte (CRM)

Title: Precise descriptions of bands of the Airy-Schrodinger operator on the real line
Abstract: Joint work with Hakim Boumaza, LAGA, Université Paris 13 In this talk, we present recent results on band spectrum generated by a Schrodinger operator with a non C^1 potential for which one has eigenfunctions described by special functions. This generalizes a result Harrell (1979) and in particular we are able to have a precise estimate on the validity regime of the semi-classical behavior as well as the exact width of each band. The ongoing work on a multiple-wells potential will be as well presented.