25 citations · 158 across the 37 of their papers we have counts for
4 papers · 2 filters
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 the path graph in the limit of large volume
Joachim Kerner, Pavlo Yatsyna
In this paper we study the spectral gap of the path graph and illustrate an interesting effect which has been described recently in the continuous setting. More explicitly, in the…
A lower bound on the spectral gap of one-dimensional Schrödinger operators
Joachim Kerner
In this note we provide an explicit lower bound on the spectral gap of one-dimensional Schrödinger operators with non-negative bounded potentials and subject to Neumann boundary co…
A lower bound on the spectral gap of Schrödinger operators with weak potentials of compact support
Joachim Kerner
In this paper we continue the study of the spectral gap of Schrödinger operators on large intervals and subject to Neumann boundary conditions. The main goal is to derive a lower b…