Date/heure
6 juin 2025
11:00 - 12:00
Oratrice ou orateur
Marcel Griesemer (Stuttgart)
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
Kato’s well known distributional inequality for the magnetic Laplacian holds equally in the more general setting of non-relativistic quantum electrodynamics (QED), where the wave function is vector-valued and the vector potential is quantized. We give two new applications of this result: First, we show that eigenstates satisfy a subsolution estimate. Second, for general states, with energy distribution strictly below the ionization threshold, we give a short proof of pointwise exponential decay in the electronic configuration.
Joint work with Valentin Kußmaul