A strategy for self-adjointness of Dirac operatorsapplications to the MIT bag model and δ-shell interactions

  1. Thomas Ourmières Bonafos
  2. Luis Vega González
Revista:
Publicacions matematiques

ISSN: 0214-1493

Ano de publicación: 2018

Volume: 62

Número: 2

Páxinas: 397-437

Tipo: Artigo

DOI: 10.5565/PUBLMAT6221804 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Outras publicacións en: Publicacions matematiques

Resumo

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.

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Información de financiamento

L. Vega is supported by an ERCEA Advanced Grant 2014 669689 -HADE, by the MEIC project MTM2014-53850-P and MEIC Severo Ochoa excellence accreditation SEV-2013-0323.

Financiadores

Fonte de datos: Dialnet