5 papers · 1 filter
Convergence of Schrödinger operators on domains with scaled resonant potentials
Vladimir Lotoreichik, Olaf Post
We consider Schrödinger operators on a bounded, smooth domain of dimension with Dirichlet boundary conditions and a properly scaled potential, which depends only on the…
Quasi-unitary equivalence and generalised norm resolvent convergence
Olaf Post, Jan Simmer
The purpose of this article is to give a short introduction to the concept of quasi-unitary equivalence of quadratic forms and its consequences. In particular, we improve an estima…
Manifolds with many small wormholes: norm resolvent and spectral convergence
Colette Anné, Olaf Post
We present results concerning the norm convergence of resolvents for wildperturbations of the Laplace-Beltrami operator. This article is a continuation of ouranalysis on wildly per…
Distances between operators acting on different Hilbert spaces
Olaf Post, Sebastian Zimmer
The aim of this article is to define and compare several distances (or metrics) between operators acting on different (separable) Hilbert spaces. We consider here three main cases…
The curious spectra and dynamics of non-locally finite crystals
Joachim Kerner, Olaf Post, Mostafa Sabri +1
This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and sum…