3 papers
math.SP2025
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 oper…
math.AP2024
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 comp…
math.SP2019
Spectral Asymptotic for the Infinite Mass Dirac Operator in bounded domain
Badreddine Benhellal
In this paper, we study a singular perturbation of a problem used in dimension two to model graphene or in dimension three to describe the quark confinement phenomenon in hadrons.…