A strategy for self-adjointness of Dirac operators

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 appr...

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Detalles Bibliográficos
Autores: Ourmières-Bonafos, Thomas, Vega, Luis
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:191238
Acceso en línea:https://ddd.uab.cat/record/191238
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221804
Access Level:acceso abierto
Palabra clave:Dirac operators
Self-adjoint extensions
Mit bag model
δ-shell interactions
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spelling A strategy for self-adjointness of Dirac operatorsapplications to the MIT bag model and δ-shell interactionsOurmières-Bonafos, ThomasVega, LuisDirac operatorsSelf-adjoint extensionsMit bag modelδ-shell interactionsWe 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. 22018-01-0120182018-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/191238https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221804reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1912382026-06-06T12:50:31Z
dc.title.none.fl_str_mv A strategy for self-adjointness of Dirac operators
applications to the MIT bag model and δ-shell interactions
title A strategy for self-adjointness of Dirac operators
spellingShingle A strategy for self-adjointness of Dirac operators
Ourmières-Bonafos, Thomas
Dirac operators
Self-adjoint extensions
Mit bag model
δ-shell interactions
title_short A strategy for self-adjointness of Dirac operators
title_full A strategy for self-adjointness of Dirac operators
title_fullStr A strategy for self-adjointness of Dirac operators
title_full_unstemmed A strategy for self-adjointness of Dirac operators
title_sort A strategy for self-adjointness of Dirac operators
dc.creator.none.fl_str_mv Ourmières-Bonafos, Thomas
Vega, Luis
author Ourmières-Bonafos, Thomas
author_facet Ourmières-Bonafos, Thomas
Vega, Luis
author_role author
author2 Vega, Luis
author2_role author
dc.subject.none.fl_str_mv Dirac operators
Self-adjoint extensions
Mit bag model
δ-shell interactions
topic Dirac operators
Self-adjoint extensions
Mit bag model
δ-shell interactions
description 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.
publishDate 2018
dc.date.none.fl_str_mv 2
2018-01-01
2018
2018-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/191238
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221804
url https://ddd.uab.cat/record/191238
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221804
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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