2017/02/25 by Ignacio S. Gomez
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Context (archaeology) #Discretization #Entropy (arrow of time) #Ergodic theory #Generator (circuit theory) #Geography #Limit (mathematics) #Logarithm #Mathematical analysis #Mathematics #Physics #Power (physics) #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum mechanics #Semiclassical physics #Stationary ergodic process #Statistical physics #quant-ph
paper · pdf · doi:10.1142/s0218127418500025
arxiv created 2017/02/25 · openalex publication_date 2018/01/01 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An estimation of the logarithmic timescale in quantum systems having an ergodic dynamics in the semiclassical limit, is presented. The estimation is based on an extension of the Krieger’s finite generator theorem for discretized [Formula: see text]-algebras and using the time rescaling property of the Kolmogorov–Sinai entropy. The results are in agreement with those obtained in the literature but with a simpler mathematics and within the context of the ergodic theory. Moreover, some consequences of the Poincaré’s recurrence theorem are also explored.