22 citations · 27 across the 5 of their papers we have counts for
5 papers
Robustness of flat bands on the perturbed Kagome and the perturbed Super-Kagome lattice
Joachim Kerner, Matthias Täufer, Jens Wintermayr
We study spectral properties of perturbed discrete Laplacians on two-dimensional Archimedean tilings. The perturbation manifests itself in the introduction of non-trivial edge weig…
Controllability of the Schrödinger equation on unbounded domains without geometric control condition
Matthias Täufer
We prove controllability of the Schrödinger equation in in any time with internal control supported on nonempty, periodic, open sets. This demonstrates in pa…
On the spectral gap of higher-dimensional Schrödinger operators on large domains
Joachim Kerner, Matthias Täufer
We study the asymptotic behaviour of the spectral gap of Schrödinger operators in two and higher dimensions and in a limit where the volume of the domain tends to infinity. Dependi…
On the spectral gap of one-dimensional Schrödinger operators on large intervals
Joachim Kerner, Matthias Täufer
We study the effect of non-negative potentials on the spectral gap of one-dimensional Schrödinger operators in the limit of large intervals. In particular, we derive upper and lowe…
Scale-free unique continuation principle, eigenvalue lifting and Wegner estimates for random Schrödinger operators
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We prove a scale-free, quantitative unique continuation principle for functions in the range of the spectral projector of a Schrödinger operator on a c…