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Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method

J. Martin Lindsay, Stephen J. Wills

math.FAarXiv:math/0606545

Abstract

A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato Theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.

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