39 citations · 217 across the 17 of their papers we have counts for
4 papers · 1 filter
Dirac operators with Lorentz scalar shell interactions
Markus Holzmann, Thomas Ourmières-Bonafos, Konstantin Pankrashkin
This paper deals with the massive three-dimensional Dirac operator coupled with a Lorentz scalar shell interaction supported on a compact smooth surface. The rigorous definition of…
Dirichlet spectrum of the Fichera layer
Monique Dauge, Yvon Lafranche, Thomas Ourmières-Bonafos
We investigate the spectrum of the three-dimensional Dirichlet Laplacian in a prototypal infinite polyhedral layer, that is formed by three perpendicular quarter-plane walls of con…
Spectral asymptotics for -interactions on sharp cones
Thomas Ourmières-Bonafos, Konstantin Pankrashkin, Fabio Pizzichillo
We investigate the spectrum of three-dimensional Schrödinger operators with -interactions of constant strength supported on circular cones. As shown in earlier works, such opera…
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…