Quantum graph models of quantum chaos: an introduction and some recent applications
Gregory Berkolaiko, Sven Gnutzmann
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.
quant-pharXiv:2604.12690•Apr 15, 2026