8 citations
2 papers
math.SP2006★ 8 cited
A linear Wegner estimate for alloy type Schroedinger operators on metric graphs
Mario Helm, Ivan Veselic'
We study spectra of alloy-type random Schrödinger operators on metric graphs. For finite edge subsets of general graphs we prove a Wegner estimate which is linear in the volume (i.…
math-ph2006★ 2 cited
Spectral gap of segments of periodic waveguides
Sylwia Kondej, Ivan Veselic'
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of per…