4 papers
The Landau-Dirac operator with shell interactions: self-adjointness and clustering
Badreddine Benhellal, Vincent Bruneau, Pablo Miranda
We consider the two-dimensional Dirac operator with constant magnetic field that is perturbed by a combination of electrostatic and Lorentz-scalar delta interactions with variable…
Eigenvalue asymptotics for strong -interactions supported on curves with corners
Badreddine Benhellal, Noah Körner, Konstantin Pankrashkin
Let be a piecewise smooth closed curve with corners. We discuss the asymptotic behavior of the individual eigenvalues of the two-dimensional Schrödinger op…
On Schrödinger operators with oblique transmission conditions on non-smooth curves
Badreddine Benhellal, Miguel Camarasa, Konstantin Pankrashkin
In a recent paper Behrndt, Holzmann, and Stenzel introduced a new class of two-dimensional Schrödinger operators with oblique transmissions along smooth curves. We extend most com…
On Neumann-Poincaré operators and self-adjoint transmission problems
Badreddine Benhellal, Konstantin Pankrashkin
We discuss the self-adjointness in -setting of the operators acting as , with piecewise constant functions having a jump along a Lipschitz hypersurfa…