181 citations · 3.2k across the 184 of their papers we have counts for
9 papers · 1 filter
Approximation of Schrödinger operators with -interactions supported on hypersurfaces
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
We show that a Schrödinger operator with a -interaction of strength supported on a bounded or unbounded -hypersurface , , can…
A spectral isoperimetric inequality for cones
Pavel Exner, Vladimir Lotoreichik
In this note we investigate three-dimensional Schrödinger operators with -interactions supported on -smooth cones, both finite and infinite. Our main results concern a Fabe…
Generalized interactions supported on hypersurfaces
Pavel Exner, Jonathan Rohleder
We analyze a family of singular Schrödinger operators with local singular interactions supported by a hypersurface , being the boundary of a Lipschi…
Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition
Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi +1
We analyze two-dimensional Schrödinger operators with the potential where and , which exhibit an abrupt change of its spectral prop…
Spectral properties of magnetic chain graphs
Pavel Exner, Stepan Manko
We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a -c…
Gap asymptotics in a weakly bent leaky quantum wire
Pavel Exner, Sylwia Kondej
The main question studied in this paper concerns the weak-coupling behavior of the geometrically induced bound states of singular Schrödinger operators with an attractive inter…