Quantum graph models of quantum chaos: an introduction and some recent applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909015886266368 |
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| author | Berkolaiko, Gregory Gnutzmann, Sven |
| author_facet | Berkolaiko, Gregory Gnutzmann, Sven |
| contents | Quantum graphs are a paradigmatic model for quantum chaos as well as for spectral theory.
We give a concise didactical introduction to quantum graphs, or Schrödinger Hamiltonians on
metric graphs, with a focus on results related
to quantum chaos, periodic orbit theory and spectral theory. We summarise related
seminal results, and give an overview over a few more recent developments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12690 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum graph models of quantum chaos: an introduction and some recent applications Berkolaiko, Gregory Gnutzmann, Sven Quantum Physics Mathematical Physics Quantum graphs are a paradigmatic model for quantum chaos as well as for spectral theory. We give a concise didactical introduction to quantum graphs, or Schrödinger Hamiltonians on metric graphs, with a focus on results related to quantum chaos, periodic orbit theory and spectral theory. We summarise related seminal results, and give an overview over a few more recent developments. |
| title | Quantum graph models of quantum chaos: an introduction and some recent applications |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2604.12690 |