An Introduction to Quantum Graphs and Current Applications

• URL: http://arxiv.org/abs/2604.12690v1
• Date: Tue, 14 Apr 2026 13:00:51 GMT
• Title: An Introduction to Quantum Graphs and Current Applications
• Abstract summary: We give a didactical introduction to quantum graphs, or Schrdinger Hamiltonians on metric graphs.<n>We focus on results related to quantum chaos, periodic theory and spectral theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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