Spectral Precept for Schrödinger operators on compact metric graphs with δ and δ′ couplings: a survey
Authors: Jonathan Rohleder, Christian Seifert
Abstract: Spectral properties of Schrödinger operators on compact metric graphs are studied and explicit emphasis is positioned on variations inside the spectral habits between completely completely different classes of vertex conditions. We survey present outcomes notably for δ and δ′ couplings and show the spectral properties on many examples. Amongst completely different points, properties of the underside state eigenvalue and eigenfunction and the spectral habits under quite a few perturbations of the metric graph or the vertex conditions are considered
