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arxiv: math-ph/0503026 · v1 · submitted 2005-03-10 · 🧮 math-ph · math.AP· math.MP

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Quantum Ergodicity and Mixing

Steve Zelditch
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classification 🧮 math-ph math.APmath.MP
keywords articleencyclopediaergodicityexpositorymathematicalmixingphysicsquantum
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This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Provable quantum thermalization without statistical averages

    quant-ph 2026-04 unverdicted novelty 7.0

    A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.

  2. Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces

    math.SP 2025-12 unverdicted novelty 7.0

    A large-scale analogue of Zelditch's quantum mixing theorem is established for compact hyperbolic surfaces using the wave equation and geodesic flow mixing, valid for arithmetic and Weil-Petersson random surfaces.