Date/heure
28 novembre 2025
11:00 - 12:00
Oratrice ou orateur
Julien Malartre (Sobonne Paris Nord)
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
Bohr’s correspondence principle asserts that the predictions of classical and quantum mechanics coincide in the limit of large quantum numbers. This connection becomes especially striking when one studies Schrödinger-type equations for initial data minimising the uncertainty principle, known as « gaussian coherent states », in the semiclassical limit. More precisely, in the context of quantum mechanics, one can derive a complete asymptotic expansion in the semiclassical parameter for solutions of such equations. The aim of this talk is to explain how to obtain a similar result in the framework of Quantum Field Theory for a certain class on analytic interactions, with a particular stress on spatially cutoff $P(\phi)_2$ interactions.