Ergodic properties of infinite quantum harmonic crystals: An analytic approach

DOI10.1063/1.531741zbMath0864.58020arXivchao-dyn/9602003OpenAlexW3101914944MaRDI QIDQ5284728

André Martinez, Sandro Graffi

Publication date: 6 July 1997

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9602003

zbMATH Keywords

ergodicitymixingergodic theoryinfinite quantum systemsharmonic crystalsquantum Gibbs distribution

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (2)

Ergodic properties of the quantum ideal gas in the Maxwell–Boltzmann statistics ⋮ Completely mixing quantum open systems and quantum fractals

Cites Work

• Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit)
• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Quantum ergodicity on the sphere
• Universal estimate of the gap for the Kac operator in the convex case
• Classical limit of the quantized hyperbolic toral automorphisms
• Chaotic quantum phenomena without classical counterpart

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