17 citations · 40 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…
Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions
Badreddine Benhellal, Konstantin Pankrashkin
We discuss the spectral properties of three-dimensional Dirac operators with critical combinations of electrostatic and Lorentz scalar shell interactions supported by a compact smo…
Spectral Analysis of Dirac Operators with delta interactions supported on the boundaries of rough domains
Badreddine Benhellal
Given an open set . We deal with the spectral study of Dirac operators of the form , where is the free Dirac operator in $…
Spectral Properties of the Dirac Operator coupled with -Shell Interactions
Badreddine Benhellal
Let be an open set, we study the spectral properties of the free Dirac operator coupled with the singular potential $V_κ=(εI_4 +μβ+η(α\cdot N))…
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.…