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Dirac operators on hypersurfaces as large mass limits

Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2018), Dirac operators on hypersurfaces as large mass limits. https://basepub.dauphine.fr/handle/123456789/18685

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Type
Document de travail / Working paper
Date
2018
Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Published in
Paris
Pages
39
Metadata
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Author(s)
Moroianu, Andrei
Laboratoire de Mathématiques d'Orsay [LMO]
Ourmières-Bonafos, Thomas
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Pankrashkin, Konstantin
Laboratoire de Mathématiques d'Orsay [LM-Orsay]
Abstract (EN)
We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either in the domain with a MIT-bag type boundary condition or in the whole space, with a suitably chosen zero order mass term.
Subjects / Keywords
Dirac operators; Euclidean domain