Thumbnail

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

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

View/Open
Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-02034789
Date
2019
Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Published in
Paris
Pages
16
Metadata
Show full item record
Author(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]
Abstract (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).
Subjects / Keywords
Dirac operator; Kirchoff-type vertex