Quantum stochastic operator cocycles via associated semigroups
Lindsay, J. Martin
Wills, Stephen J.
Cambridge University Press
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.
Operator cocycle , Quantum stochastic differential equation , Generator , Semigroup , Exponential domain
Lindsay, J. M. and Wills, S.J. (2007) 'Quantum stochastic operator cocycles via associated semigroups', Mathematical Proceedings of the Cambridge Philosophical Society, 142(3), pp. 535-556. doi: 10.1017/S0305004106009923
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