1 citations · 1 across the 3 of their papers we have counts for
4 papers
Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials
Marko Lindner, Riko Ukena
We study 1D discrete Schrödinger operators with integer-valued potential and show that, , invertibility (in fact, even just Fredholmness) of always implies invertibili…
Spectral approximation of generalized Schrödinger operators via approximation of subwords
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of ge…
Finite Sections of Periodic Schrödinger Operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We study discrete Schrödinger operators with periodic potentials as they are typically used to approximate aperiodic Schrödinger operators like the Fibonacci Hamiltonian. We pr…
Finite section method for aperiodic Schrödinger operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We consider 1D discrete Schrödinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci Hamiltonian. Via a standard app…