17 citations · 40 across the 9 of their papers we have counts for
10 papers
MIT bag model and infinite mass limit in non-smooth domains
Badreddine Benhellal, Noah Körner, Dylan Machado +1
The work is devoted to the study of Dirac operators with MIT bag boundary conditions in Euclidean domains with compact Lipschitz boundaries in arbitrary dimensions. It is shown tha…
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 oper…
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…
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…
A Poincaré-Steklov map for the MIT bag model
Badreddine Benhellal, Vincent Bruneau, Mahdi Zreik
The purpose of this paper is to introduce and study Poincaré-Steklov (PS) operators associated to the Dirac operator with the so-called MIT bag boundary condition. In a domai…
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.…