Ergodic properties of groups of the Bogoliubov transformations of CAR C *-algebras
type: Item
instance of: scholarly article
title: Ergodic properties of groups of the Bogoliubov transformations of CAR C *-algebras
zbMATH Open document ID: 0635.46060
DOI: 10.1016/0003-4916(87)90209-0
author: B. George
published in: Annals of Physics
publication date: 1987-01-01T00:00:00Z
review text: The paper deals with the following two problems for quasifree dynamics of the CAR algebra. (1) The approach of a given state to a quasifree state, i.e. the asymptotic vanishing of higher truncated correlation functions, under the assumption of (2). (2) the asymptotic convergence of one and two point functions. The main result of the paper is an affirmative answer fo (1) and (2) under certain uniform clustering conditions on the initial state plus certain smoothness and non-degeneracy conditions (in technical sense) for functions describing the quasifree dynamics.
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 82B10
zbMATH DE Number: 4034436
zbMATH Keywords: quasifree dynamics of the CAR algebra
zbMATH Keywords: quasifree state
zbMATH Keywords: uniform clustering conditions
reviewed by: Huzihiro Araki
MaRDI profile type: Publication
full work available at URL: 0003-4916(87)90209-0
OpenAlex ID: W2060231099
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description: scientific article; zbMATH DE number 4034436