A strategy for self-adjointness of Dirac operators : applications to the MIT bag model and δ-shell interactions
Ourmières-Bonafos, Thomas (Université Paris-Sud. Laboratoire de Mathématiques d'Orsay)
Vega, Luis (Universidad del País Vasco. Departamento de Matemáticas)

Date:	2018
Abstract:	We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a C 2 -compact surface without boundary. To do so we are lead to study the layer potential induced by the Dirac system as well as to define traces in a weak sense for functions in the appropriate Sobolev space. Finally, we introduce Calderón projectors associated with the problem and illustrate the method in two special cases: the well-known MIT bag model and an electrostatic δ-shell interaction.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Dirac operators ; Self-adjoint extensions ; Mit bag model ; δ-shell interactions
Published in:	Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 397-437 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/338218
DOI: 10.5565/PUBLMAT6221804

41 p, 535.6 KB

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