The Concept of Moments of Order Invariant Quantum Processes.

Abstract

Important information about stationary flows (B_I)_IÎI is contained in moments of the corresponding process. We consider the case where we have an order invariance of the moments of the increments, in the sense that such moments do not change if we shift the increments against each other, as long as we do not change the relative position of the intervals. We then show that for large classes of quantum processes one can make precise statements about the time behaviour of their moments.

Keywords: Von Neumann algebras, Stationary flows and quantum processes, order invariant, Trace and moments.