79 citations · 481 across the 62 of their papers we have counts for
7 papers · 1 filter
Spectral enclosures for non-self-adjoint extensions of symmetric operators
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik +1
The spectral properties of non-self-adjoint extensions of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary triples and the…
Asymptotics of resonances induced by point interactions
Jiri Lipovsky, Vladimir Lotoreichik
We consider the resonances of the self-adjoint three-dimensional Schrödinger operator with point interactions of constant strength supported on the set . The…
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, II: non-convex domains and higher dimensions
David Krejcirik, Vladimir Lotoreichik
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact set in any dimension, subject to attractive Robin boundary…
Asymptotics of the bound state induced by -interaction supported on a weakly deformed plane
Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
In this paper we consider the three-dimensional Schrödinger operator with a -interaction of strength supported on an unbounded surface parametrized by the mapping $\mathb…
On the bound states of magnetic Laplacians on wedges
P. Exner, V. Lotoreichik, A. Pérez-Obiol
This paper is mainly inspired by the conjecture about the existence of bound states for magnetic Neumann Laplacians on planar wedges of any aperture . So far, a proof w…
Spectral analysis of photonic crystals made of thin rods
Markus Holzmann, Vladimir Lotoreichik
In this paper we address the question how to design photonic crystals that have photonic band gaps around a finite number of given frequencies. In such materials electromagnetic wa…