A note on the Dirac operator with Kirchhoff-type conditions on noncompact metric graphs

Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo

Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo (2019), A note on the Dirac operator with Kirchhoff-type conditions on noncompact metric graphs. https://basepub.dauphine.fr/handle/123456789/18563

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Borrelli_Carlone_Tentarelli_Roma.pdf (348.9Kb)

Type

Document de travail / Working paper

Lien vers un document non conservé dans cette base

https://hal.archives-ouvertes.fr/hal-02034789

Date

2019

Éditeur

Cahier de recherche CEREMADE, Université Paris-Dauphine

Titre de la collection

Cahier de recherche CEREMADE, Université Paris-Dauphine

Ville d’édition

Paris

Métadonnées

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Auteur(s)

Borrelli, William
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Carlone, Raffaele
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Tentarelli, Lorenzo
Dipartimento di Matematica "Guido Castelnuovo" [Roma I] [Sapienza University of Rome]

Résumé (EN)

In this note we present some properties of the Dirac operator on noncompact metric graphs with Kirchoff-type vertex conditions. In particular, we discuss the specific features of the spectrum of the operator and, finally, we give some further details on the associated quadratic form (and on the form domain).