Ergodic properties for a quantum nonlinear dynamics

Authors
Fidaleo, F Liverani, C
Citation
F. Fidaleo et C. Liverani, Ergodic properties for a quantum nonlinear dynamics, J STAT PHYS, 97(5-6), 1999, pp. 957-1009
Citations number
38
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
97
Issue
5-6
Year of publication
1999
Pages
957 - 1009
Database
ISI
SICI code
0022-4715(199912)97:5-6<957:EPFAQN>2.0.ZU;2-R
Abstract
We present a quantum system composed of infinitely many particles. subject to a nonquadratic Hamiltonian, for which it is possible to investigate the long time behavior of the dynamics and its ergodic properties. We do so bot h for the KMS states and for a large class of locally normal invariant stat es, whose very existence is already of some interest.