Serie : Mémoires de la Société mathématique de France. Vol 136
Paru le 10/04/2014 | Broché 144 pages
Professionnels
We consider semi-classical Schrödinger operators with potentials supported in a bounded strictly convex subset O of Rn with smooth boundary. Letting h denote the semi-classical parameter, we consider classes of small random perturbations and show that with probability very close to 1, the number of resonances in rectangles [a, b] - i[0, ch2/3], is equal to the number of eigenvalues in [a, b] of the Dirichlet realization of the unperturbed operator in O up to a small remainder.
