Quantum ergodicity and delocalization of Schrödinger eigenfunctions

DOI10.4171/ZLAM/27zbMath1498.58001OpenAlexW4283767835MaRDI QIDQ2163065

Nalini Anantharaman

Publication date: 9 August 2022

Published in: Zurich Lectures in Advanced Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zlam/27

zbMATH Keywords

chaotic quantum systemsquantum mechanicsrandom regular graphseigenfunction delocalizationquantum unique ergodicity conjecturerandom matrix conjecture

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Quantum chaos (81Q50) Ergodic theorems, spectral theory, Markov operators (37A30) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

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