Quantum graph models of quantum chaos: an introduction and some recent applications
Quantum Physics
2026-05-07 v2 Mathematical Physics
math.MP
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 Schr\"odinger 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.
Cite
@article{arxiv.2604.12690,
title = {Quantum graph models of quantum chaos: an introduction and some recent applications},
author = {Gregory Berkolaiko and Sven Gnutzmann},
journal= {arXiv preprint arXiv:2604.12690},
year = {2026}
}
Comments
Chapter for the Quantum Chaos volume in 'Comprehensive Quantum Mechanics', to be published by Elsevier (Main editor: R.B. Mann; volume editors: S. Gnutzmann and K. \.Zyczkowski)