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Pàgina inicial > Articles > Articles publicats > A strategy for self-adjointness of Dirac operators : |
Data: | 2018 |
Resum: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Dirac operators ; Self-adjoint extensions ; Mit bag model ; δ-shell interactions |
Publicat a: | Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 397-437 (Articles) , ISSN 2014-4350 |
41 p, 535.6 KB |