02-195 Zied Ammari

Non-existence of the Moller Morphism for the spin fermion dynamical system (204K, .ps) Apr 23, 02

Abstract , Paper (src), View paper (auto. generated ps), Index 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.

Files: 02-195.src( 02-195.keywords , kms.ps )