Affiliation:
1. Department of Mathematics and Computer Science, FernUniversität in Hagen , 58084 Hagen, Germany
Abstract
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting. We also show that new features do appear on infinite quantum graphs such as a modified local Weyl law. In this sense, we regard this paper as a starting point for a more thorough investigation of spectral comparison results on more general infinite metric graphs.
Funder
Deutsche Forschungsgemeinschaft