Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)

DOI10.1088/0951-7715/18/1/015zbMath1109.81037arXivnlin/0404038OpenAlexW3124199502MaRDI QIDQ4655107

Stephen O'Keefe, Jens Marklof, Steven Zelditch

Publication date: 10 March 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0404038

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (17)

Equidistribution of phase shifts in trapped scattering ⋮ Quantum ergodicity for quantum graphs without back-scattering ⋮ Local random vector model for semiclassical fractal structure of chaotic resonance states ⋮ Quantum variance and ergodicity for the baker's map ⋮ Note on converse quantum ergodicity ⋮ Generic KAM Hamiltonians are not quantum ergodic ⋮ Pointwise Weyl law for graphs from quantized interval maps ⋮ Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards ⋮ Quantum ergodicity for a class of mixed systems ⋮ Quantum ergodicity and symmetry reduction ⋮ Quantisations of piecewise parabolic maps on the torus and their quantum limits ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Quantum mushroom billiards ⋮ Quantization of a free particle interacting linearly with a harmonic oscillator ⋮ Chaotic-dynamics of a free particle interacting linearly with a harmonic oscillator ⋮ Continuous limit of discrete sawtooth maps and its algebraic framework ⋮ Rigorous bounds on Lyapunov exponents of linked twist maps

This page was built for publication: Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)