• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

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
1902.03901.pdf (265.4Kb)
Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-02016328
Date
2019
Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Published in
Paris
Pages
19
Metadata
Show full item record
Author(s)
Ourmières-Bonafos, Thomas
CEntre 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 interactions

Related items

Showing items related by title and author.

  • Thumbnail
    Two-dimensional Dirac operators with singular interactions supported on closed curves 
    Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2019-07) Document de travail / Working paper
  • Thumbnail
    Dirac operators on hypersurfaces as large mass limits 
    Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2018) Document de travail / Working paper
  • Thumbnail
    Effective operator for Robin eigenvalues in domains with corners 
    Khalile, Magda; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2018) Document de travail / Working paper
  • Thumbnail
    A sharp upper bound on the spectral gap for convex graphene quantum dots 
    Lotoreichik, Vladimir; Ourmières-Bonafos, Thomas (2018) Document de travail / Working paper
  • Thumbnail
    Self-Adjointness of two dimensional Dirac operators on corner domains 
    Pizzichillo, Fabio; Bosch, Hanne Van Den (2019) Document de travail / Working paper
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo