Two-dimensional Dirac operators with singular interactions supported on closed curves - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Functional Analysis Année : 2020

Two-dimensional Dirac operators with singular interactions supported on closed curves

Résumé

This paper is devoted to the study of the two-dimensional Dirac operator with an arbitrary combination of an electrostatic and a Lorentz scalar δ-interaction of constant strengths supported on a closed curve. For any combination of the coupling constants a rigorous description of the self-adjoint realization of the operators is given and the spectral properties are described. For a non-zero mass and a critical combination of coupling constants the operator appears to have an additional point in the essential spectrum, which is related to a loss of regularity in the operator domain, and the position of this point is expressed in terms of the coupling constants.
Fichier principal
Vignette du fichier
2dd27.pdf (524.77 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02181432 , version 1 (12-07-2019)

Identifiants

  • HAL Id : hal-02181432 , version 1

Citer

Jussi Behrndt, Markus Holzmann, Thomas Ourmières-Bonafos, Konstantin Pankrashkin. Two-dimensional Dirac operators with singular interactions supported on closed curves. Journal of Functional Analysis, 2020. ⟨hal-02181432⟩
83 Consultations
113 Téléchargements

Partager

Gmail Facebook X LinkedIn More