39 citations · 217 across the 17 of their papers we have counts for
5 papers · 1 filter
Dirac bag model on thin domains: a microlocal viewpoint
Loïc Le Treust, Thomas Ourmières-Bonafos, Nicolas Raymond
The Dirac operator is considered on a bidimensional domain whose boundary carries the infinite mass boundary condition. The analysis is focused on the existence of discrete spectru…
Dirac operators and shell interactions: a survey
Thomas Ourmières-Bonafos, Fabio Pizzichillo
In this survey we gather recent results on Dirac operators coupled with -shell interactions. We start by discussing recent advances regarding the question of self-adjointness fo…
Dirac operators on hypersurfaces as large mass limits
Andrei Moroianu, Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either…
Self-Adjointness of Dirac Operators with Infinite Mass Boundary Conditions in Sectors
Loïc Le Treust, Thomas Ourmières-Bonafos
This paper deals with the study of the two-dimensional Dirac operatorwith infinite mass boundary condition in a sector. We investigate the question ofself-adjointness depending on…
A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions
Thomas Ourmières-Bonafos, Luis Vega
We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a -compact surface without boundary. To do so we are…