no. 1
Extension operator for the MIT Bag Model
Arrizabalaga, N.1 ; Le Treust, L.2 ; Raymond, N.3
1 Departamento de Matemáticas, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), 48080 Bilbao, Spain
2 Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France
3 IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes cedex, France
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 1, pp. 135-147.

Cet article est consacré à la construction d’un opérateur d’extension pour l’opérateur MIT bag Dirac sur un ouvert borné de classe 𝒞 2,1 de ℝ 3 dans l’esprit des théorèmes d’extension pour les espaces de Sobolev. L’auto-adjonction de l’opérateur MIT bag Dirac en est une conséquence élémentaire.

This paper is devoted to the construction of an extension operator for the MIT bag Dirac operator on a 𝒞 2,1 bounded open set of ℝ 3 in the spirit of the extension theorems for Sobolev spaces. As an elementary byproduct, we prove that the MIT bag Dirac operator is self-adjoint.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1627
Classification : 35J60, 81Q10, 81V05
Mots clés : Dirac operator, Hadron bag model, Relativistic particle in a box, MIT bag model
Arrizabalaga, N. 1 ; Le Treust, L. 2 ; Raymond, N. 3

1 Departamento de Matemáticas, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), 48080 Bilbao, Spain
2 Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France
3 IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes cedex, France 
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Arrizabalaga, N.; Le Treust, L.; Raymond, N. Extension operator for the MIT Bag Model. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 1, pp. 135-147. doi : 10.5802/afst.1627. http://www.numdam.org/articles/10.5802/afst.1627/

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