Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model

Simple item page
dc.creatorGottlieb, Alexander David
dc.date2000-01-13
dc.date.accessioned2026-07-07T04:27:35Z
dc.date.available2026-07-07T04:27:35Z
dc.descriptionThe 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0001018
dc.identifierhttp://arxiv.org/abs/math-ph/0001018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56469
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject82C10
dc.titlePropagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model
dc.typetext

Files

Collections

arXiv