2000/01/13 by Alexander David Gottlieb, Alexander Gottlieb, Gottlieb, Alexander David
Computer Science · Mathematics · Physics and Astronomy · #82C10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Operator Algebras (math.OA) #Quantum chaos and dynamical systems #math-ph #math.MP #math.OA #msc:82C10 #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.math-ph/0001018
18 pages
arxiv created 2000/01/13 · openalex publication_date 2000/01/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The propagation of molecular chaos, a tool of classical kinetic theory, is generalized to apply to quantum systems of distinguishable particles. We prove that the Curie-Weiss model of ferromagnetism propagates molecular chaos and derive the effective dynamics of a single-spin state in the mean-field limit. Our treatment differs from the traditional approach to mean-field spin models in that it concerns the dynamics of single-particle states instead of the dynamics of infinite-particle states.