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WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS
2007
Infinite Dimensional Analysis Quantum Probability and Related Topics
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.
doi:10.1142/s0219025707002658
fatcat:rg4chqfmlzawhpruu5xvmyysfi