79 citations · 481 across the 62 of their papers we have counts for
6 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…
Trace formulae for Schrödinger operators with singular interactions
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
Let be a -smooth closed compact hypersurface, which splits the Euclidean space into two domains . In this note self-adjoint S…
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…
On the Bound States of Schrödinger Operators with -interactions on Conical Surfaces
Vladimir Lotoreichik, Thomas Ourmières-Bonafos
In dimension greater than or equal to three, we investigate the spectrum of a Schr{ö}dinger operator with a -interaction supported on a cone whose cross section is the sphere of…
On absence of bound states for weakly attractive -interactions supported on non-closed curves in
Michal Jex, Vladimir Lotoreichik
Let be a non-closed piecewise- curve, which is either bounded with two free endpoints or unbounded with one free endpoint. Let be t…
Quasi boundary triples and semibounded self-adjoint extensions
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik +1
In this note semibounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. Th…