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arXiv · 2308.16869

Some spectral comparison results on infinite quantum graphs

Patrizio Bifulco·Joachim Kerner
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Abstract

In this paper we establish spectral comparison results for Schr\"odinger 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.

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Patrizio Bifulco, Joachim Kerner. 2023-08-31. Some spectral comparison results on infinite quantum graphs. https://doi.org/10.1063/5.0178226

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