Generic KAM Hamiltonians are not quantum ergodic

DOI10.2140/apde.2023.16.119zbMath1528.37052arXiv1811.07718OpenAlexW4366823151MaRDI QIDQ6046069

Seán Gomes

Publication date: 15 May 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07718

zbMATH Keywords

semiclassicsconverse quantum ergodicityKAM Hamiltonians

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Canonical quantization (81S08)

Related Items

Spectral stability and semiclassical measures for renormalized KAM systems

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