CLASSICAL LIMIT OF QUANTUM DYNAMICAL ENTROPIES

2003/08/31 by F. Benatti, Fabio Benatti, V. Cappellini +6
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s0129055x03001837

published as Rev. Math. Phys., Vol. 15 Num. 8 (October 2003) 847-875 · LaTeX, 41 pages; v2: small changes and corrected typos

openalex publication_date 2003/10/01 · arxiv created 2004/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov–Sinai invariant is recovered on time scales that are logarithmic in the quantization parameter. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail.

Citations

• The classical limit of quantum theory

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