Resonant eigenstates for a quantized chaotic system

DOI10.1088/0951-7715/20/6/004zbMath1138.81021arXivnlin/0608069OpenAlexW2056007896MaRDI QIDQ5296062

Mathieu Rubin, Stéphane Nonnenmacher

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0608069

Mathematics Subject Classification ID

Quantum chaos (81Q50) (2)-body potential quantum scattering theory (81U05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Resonance in context of PDEs (35B34)

Related Items (9)

Resonances for open quantum maps and a fractal uncertainty principle ⋮ Local random vector model for semiclassical fractal structure of chaotic resonance states ⋮ Ulam method and fractal Weyl law for Perron-Frobenius operators ⋮ Quantum decay rates in chaotic scattering ⋮ Uniform hyperbolicity of a class of scattering maps ⋮ Entropic bounds on semiclassical measures for quantized one-dimensional maps ⋮ Microlocal limits of Eisenstein functions away from the unitarity axis ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ From open quantum systems to open quantum maps

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