- 02-195 Zied Ammari
- Non-existence of the Moller Morphism for the spin fermion dynamical
Apr 23, 02
(auto. generated ps),
of related papers
Abstract. We give a precise non trivial counterexample to the
existence of the M ller morphism for groups of
*-automorphism describing a two-body interacting dynamical system.
This fact invalidate the property of $L^1-$asymptotic abelianness
which is a crucial ingredient in many developments of the
non-stationary approach on the stability of KMS states. It is build
on the spin fermion dynamical system, nevertheless
it is typically what we should expect when we consider a generic case of
a small system interacting with a reservoir.