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Extension operator for the MIT Bag Model
N. Arrizabalaga1; L. Le Treust2; N. Raymond3
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, Serie 6, Volume 29 (2020) no. 1, pp. 135-147.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.5802/afst.1627
Classification: 35J60, 81Q10, 81V05
Keywords: Dirac operator, Hadron bag model, Relativistic particle in a box, MIT bag model

N. Arrizabalaga 1; L. Le Treust 2; N. Raymond 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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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N. Arrizabalaga; L. Le Treust; N. Raymond. Extension operator for the MIT Bag Model. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 29 (2020) no. 1, pp. 135-147. doi : 10.5802/afst.1627. https://afst.centre-mersenne.org/articles/10.5802/afst.1627/

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