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Groupe de Travail EDP et Théorie Spectrale

Absence of real resonances of Dirac operators

Henry Dumant

( (Université de Bordeaux) )

Salle de Conférences

le 14 février 2025 à 09:30

In this talk, we define the resonances of Dirac operators as poles of the meromorphic continuation of the truncated resolvent and discuss a result about their localization: a kind of Rellich Theorem. Firstly, we consider the case of the free Dirac operator perturbated by a bounded and compactly supported external field. Secondly, we consider the case of the MIT bag model outside a smooth and bounded obstacle.