48 citations · 238 across the 26 of their papers we have counts for
5 papers · 1 filter
Spectral asymptotics of the Laplacian on Platonic solids graphs
Pavel Exner, Jiri Lipovsky
We investigate the high-energy eigenvalue asymptotics quantum graphs consisting of the vertices and edges of the five Platonic solids considering two different types of the vertex…
Spectral optimization for strongly singular Schrödinger operators with a star-shaped interaction
Pavel Exner, Sylwia Kondej
We discuss the spectral properties of singular Schrödinger operators in three dimensions with the interaction supported by an equilateral star, finite or infinite. In the finite ca…
An optimization problem for finite point interaction families
Pavel Exner
We consider the spectral problem for a family of point interactions of the same strength confined to a manifold with a rotational symmetry, a circle or a sphere, and ask for co…
Spectral geometry in a rotating frame: properties of the ground state
Diana Barseghyan, Pavel Exner
We investigate spectral properties of the operator describing a quantum particle confined to a planar domain rotating around a fixed point with an angular velocity and demo…
On Dirac operators in with electrostatic and Lorentz scalar -shell interactions
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this article Dirac operators coupled with combinations of electrostatic and Lorentz scalar -shell interactions of constant strength and , respectively, supp…