Introduction to scattering theory on Hilbert spaces.

Abstract: The goal of scattering theory is to write the asymptotic of solutions of Schrödinger equation associated to a complex Hamiltonian in term of solutions of Schrödinger equation associated to a simpler Hamiltonian. After describing how theory of Hilbert space can describe quantum system, I will introduce the main ideas of scattering theory for self-adjoint operator. If I have enough time, I will explain how to extend this theory to non-self-adjoint Hamiltonian.

analysis of PDEsclassical analysis and ODEsfunctional analysisprobabilityspectral theory

Audience: researchers in the discipline

Quebec Analysis and Related Fields Graduate Seminar