195 citations · 1.2k across the 66 of their papers we have counts for
4 papers · 1 filter
Bound states of a pair of particles on the half-line with a general interaction potential
Sebastian Egger, Joachim Kerner, Konstantin Pankrashkin
In this paper we study an interacting two-particle system on the positive half-line. We focus on spectral properties of the Hamiltonian for a large class of two-particle potentials…
Dirac operators on hypersurfaces as large mass limits
Andrei Moroianu, Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either…
Effective operators for Robin eigenvalues in domains with corners
Magda Khalile, Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of severa…
Robin eigenvalues on domains with peaks
Hynek Kovarik, Konstantin Pankrashkin
Let , be a bounded domain with an outward power-like peak which is assumed not too sharp in a suitable sense. We consider the Laplacian $u\mapsto -Δ…