WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS
Luigi Accardi, Wided Ayed, Habib Ouerdiane
We study white noise Heisenberg equations giving rise to flows which are *-automorphisms of the observable algebra, but not necessarily inner automorphisms. We prove that the causally normally ordered form of these white noise Heisenberg equations are equivalent to Evans–Hudson flows. This gives in particular, the microscopic structure of the maps defining these flows, in terms of the original white noise derivations.
Infinite Dimensional Analysis Quantum Probability and Related Topics•Mar 1, 2007•4 citations