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Quantum stochastic operator cocycles via associated semigroups

Quantum stochastic operator cocycles via associated semigroups

Abstract A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give …