From Ruelle's transfer operator to the Schrödinger operator

DOI10.1016/0167-2789(95)00181-3zbMath0890.58042OpenAlexW2156327547MaRDI QIDQ1894668

Christian Beck

Publication date: 9 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00181-3

zbMATH Keywords

chaotic dynamicsSchrödinger operatorscaling limitRuelle's transfer operator

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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• Thermodynamic formalism for quantum-mechanical systems
• The thermodynamic formalism for expanding maps
• The Ruelle-Araki transfer operator in classical statistical mechanics
• Chaos in classical and quantum mechanics
• From the Perron-Frobenius equation to the Fokker-Planck equation.
• Statistical mechanics of a one-dimensional lattice gas
• Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra
• Chaotic quantization of field theories
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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