Some spectral comparison results on infinite quantum graphs

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-07-02 DOI:10.1063/5.0178226

P. Bifulco, J. Kerner

引用次数: 0

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.

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无限量子图的一些谱比较结果

在本文中，我们利用最近在有限环境中获得的结果，建立了某类无限量子图上薛定谔算子的谱比较结果。我们还证明，在无限量子图上确实出现了新的特征，如修正的局部韦尔定律。从这个意义上说，我们将本文视为一个起点，以便对更一般的无限度量图上的谱比较结果进行更深入的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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