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

Ourmières-Bonafos, Thomas ; Vega, Luis

Publicacions matemàtiques, 2018, Vol.62 (2), p.397-437 [Periódico revisado por pares]

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  • Título:
    A strategy for self-adjointness of Dirac operators : applications to the MIT bag model and δ-shell interactions
  • Autor: Ourmières-Bonafos, Thomas ; Vega, Luis
  • É parte de: Publicacions matemàtiques, 2018, Vol.62 (2), p.397-437
  • Descrição: We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a C2 -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 Calder´on 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.
  • Idioma: Catalão;Inglês

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