
Dirac operators and shell interactions: a survey
Ourmières-Bonafos, Thomas; Pizzichillo, Fabio (2019), Dirac operators and shell interactions: a survey. https://basepub.dauphine.fr/handle/123456789/18665
View/ Open
Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-02016328Date
2019Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePublished in
Paris
Pages
19
Metadata
Show full item recordAuthor(s)
Ourmières-Bonafos, ThomasCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Pizzichillo, Fabio
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
In this survey we gather recent results on Dirac operators coupled with delta-shell interactions. We start by discussing recent advances regarding the question of self-adjointness for these operators. Afterward we switch to an approximation question: can these operators be recovered as limits of Dirac operators coupled with squeezing potentials ? We also discuss spectral features of these models. Namely, we recall the main spectral consequences of a resolvent formula and conclude the survey by commenting a result of asymptotic nature for the eigenvalues in the gap of a Dirac operator coupled with a Lorentz-scalar interaction.Subjects / Keywords
Dirac operators; shell interactionsRelated items
Showing items related by title and author.
-
Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2019-07) Document de travail / Working paper
-
Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2018) Document de travail / Working paper
-
Khalile, Magda; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2018) Document de travail / Working paper
-
Lotoreichik, Vladimir; Ourmières-Bonafos, Thomas (2018) Document de travail / Working paper
-
Pizzichillo, Fabio; Bosch, Hanne Van Den (2019) Document de travail / Working paper