Ergodic properties of groups of the Bogoliubov transformations of CAR C *-algebras
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.
scientific article; zbMATH DE number 4034436
scientific article