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
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 2018

Volume: 62

Issue: 2

Pages: 397-437

Type: Article

DOI: 10.5565/PUBLMAT6221804 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

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.

€ View funding

Funding information

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.

Funders

Data source: Dialnet