Entropic bounds on semiclassical measures for quantized one-dimensional maps

DOI10.1007/s00220-009-0952-8zbMath1223.58028arXiv0802.3400OpenAlexW3101042178MaRDI QIDQ625462

Boris Gutkin

Publication date: 17 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3400

zbMATH Keywords

semiclassical measuresinterval mapsmetric entropyquantum ergodicity

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Ergodic theorems, spectral theory, Markov operators (37A30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (5)

Entropy of semiclassical measures in dimension 2 ⋮ Semiclassical measures for higher-dimensional quantum cat maps ⋮ Entropic bounds on semiclassical measures for quantized one-dimensional maps ⋮ Spectral problem of block-rectangular hierarchical matrices ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs

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