Controlling strong scarring for quantized ergodic toral automorphisms.

DOI10.1215/S0012-7094-03-11736-6zbMath1049.81028arXivnlin/0202045OpenAlexW2059624421MaRDI QIDQ1413732

Stephan De Bièvre, Francesco Bonechi

Publication date: 17 November 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0202045

zbMATH Keywords

semiclassical limitsymplectic toral automorphism

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items

Controlling strong scarring for quantized ergodic toral automorphisms. ⋮ Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms ⋮ Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus ⋮ On the entropy of quantum limits for 2-dimensional cat maps ⋮ Quantisations of piecewise parabolic maps on the torus and their quantum limits ⋮ Torus as phase space: Weyl quantization, dequantization, and Wigner formalism

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