79 citations · 481 across the 62 of their papers we have counts for
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An eigenvalue inequality for Schrödinger operators with and -interactions supported on hypersurfaces
Vladimir Lotoreichik, Jonathan Rohleder
We consider self-adjoint Schrödinger operators in with a -interaction of strength and a -interaction of strength , respectively, supported on a h…
Schrödinger operators with -interactions supported on conical surfaces
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
We investigate the spectral properties of self-adjoint Schrödinger operators with attractive -interactions of constant strength supported on conical surfaces in ${\mathbb…
Spectral asymptotics for resolvent differences of elliptic operators with and -interactions on hypersurfaces
Jussi Behrndt, Gerd Grubb, Matthias Langer +1
We consider self-adjoint realizations of a second-order elliptic differential expression on with singular interactions of and -type supported on a com…
Point contacts and boundary triples
Vladimir Lotoreichik, Hagen Neidhardt, Igor Yu. Popov
We suggest an abstract approach for point contact problems in the framework of boundary triples. Using this approach we obtain the perturbation series for a simple eigenvalue in th…
Weakly coupled bound state of 2D Schrödinger operator with potential-measure
Sylwia Kondej, Vladimir Lotoreichik
We consider a self-adjoint two-dimensional Schrödinger operator , which corresponds to the formal differential expression \[ -Δ- αμ, \] where is a finite compactly supp…