QLunch: Marco Olivieri

Speaker: Marco Olivieri

Title: The semiclassical approximation of the scattering theory of the Nelson-Yukawa model

Abstract: Scattering amplitudes and transition amplitudes are important observables that allow to extract information about quantum systems in experimental physics. In this talk, we compute their semiclassical approximation for the Nelson–Yukawa model, which describes the strong nuclear interaction between mesons and nucleons. We show that, in the semiclassical limit, the quantum scattering and transition amplitudes of the Yukawa model converge to the corresponding classical scattering and transition amplitudes for the Schrödinger–Klein–Gordon equations. This establishes a direct connection between the quantum and classical scattering theories, proving the Bohr's correspondence principle in this framework. From a series of joint works with B. Alvarez, Z. Ammari and M. Falconi.