Quantum stochastic operator cocycles via associated semigroups

J. MARTIN LINDSAY, STEPHEN J. WILLS
2007 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
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 necessary and sufficient conditions for a cocycle to satisfy such an equation.
doi:10.1017/s0305004106009923 fatcat:zaeffp6xl5aczk2kjprb3jisk4