Quantum Anosov flows: A new family of examples

DOI10.1063/1.532523zbMath0931.46044OpenAlexW2077033164MaRDI QIDQ4701661

Ingo Peter, Gérard G. Emch

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532523

zbMATH Keywords

cotangent bundleergodicityquantum field theoryWeyl algebratime evolutionCCR algebrasAnosov systemcompact quotient manifold obtained from the Poincaré half-planegeodesic coflow

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Quantum field theory on curved space or space-time backgrounds (81T20)

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Upper quantum Lyapunov exponent and Anosov relations for quantum systems driven by a classical flow

Cites Work

• KMS states for the Weyl algebra
• The smallest C\(^*\)-algebra for canonical commutation relations
• The cohomology of the classical and quantum Weyl CCR in curved spaces
• HOW HOT IS THE DE SITTER SPACE?
• Geodesic flows on manifolds of constant negative curvature
• Quantum and classical mechanics on homogeneous Riemannian manifolds
• Anosov actions on noncommutative algebras
• Ergodic theory and the geodesic flow on surfaces of constant negative curvature
• The dynamics of geodesic flows

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