Extension operator for the MIT bag model
type: Item
instance of: scholarly article
title: Extension operator for the MIT bag model
zbMATH Open document ID: 1447.35150
author: Naiara Arrizabalaga
author: Nicolas Raymond
author: Loïc Le Treust
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2020-07-27T00:00:00Z
review text: The authors consider a bounded domain of the three-dimensional Euclidean space, whose boundary has a suitable regularity property. They consider the Dirac operator with so-called MIT conditions, which are a natural class of boundary conditions. An extension operator from the boundary to the interior is constructed, in the spirit of a more classical one regarding Sobolev spaces. The proof consists in defining it first for the half-space, and then using localization techniques. Self-adjointness of the Dirac operator in the naturally-associated functional space is also shown.
reviewed by: Andrea Malchiodi
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81V05
zbMATH DE Number: 7224978
zbMATH Keywords: Dirac operator
zbMATH Keywords: Hadron bag model
zbMATH Keywords: relativistic particle in a box
zbMATH Keywords: MIT bag model
MaRDI profile type: Publication
full work available at URL: afst.1627
OpenAlex ID: W2626196063
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cites work: Q4000385
DOI: 10.5802/AFST.1627
description: scientific article; zbMATH DE number 7224978