Some spectral comparison results on infinite quantum graphs
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916310011609088 |
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| author | Bifulco, Patrizio Kerner, Joachim |
| author_facet | Bifulco, Patrizio Kerner, Joachim |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16869 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some spectral comparison results on infinite quantum graphs Bifulco, Patrizio Kerner, Joachim Spectral Theory Mathematical Physics 34L05, 81Q35, 34L15, 34L20 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. |
| title | Some spectral comparison results on infinite quantum graphs |
| topic | Spectral Theory Mathematical Physics 34L05, 81Q35, 34L15, 34L20 |
| url | https://arxiv.org/abs/2308.16869 |