Linear boson models of time evolution in quantum statistical mechanics

Yu. M. Sukhov

Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 151-182.

Résumé

This paper contains a construction of time evolution for linear boson models of quantum statistical mechanics. The main result is a theorem on convergence to a quasifree moment functional in the course of linear time evolution. A connection between linear evolution of the moment functional and evolution of the corresponding state of an infinite quantum system is discussed. Bibliography: 30 titles.

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