Spectral Principle for Schrödinger operators on compact metric graphs with δ and δ′ couplings: a survey
Authors: Jonathan Rohleder, Christian Seifert
Summary: Spectral properties of Schrödinger operators on compact metric graphs are studied and particular emphasis is placed on variations within the spectral habits between totally different lessons of vertex situations. We survey current outcomes particularly for δ and δ′ couplings and display the spectral properties on many examples. Amongst different issues, properties of the bottom state eigenvalue and eigenfunction and the spectral habits below numerous perturbations of the metric graph or the vertex situations are thought of
