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Quantum stochastic operator cocycles via associated semigroups
Published online by Cambridge University Press: 01 May 2007
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 necessary and sufficient conditions for a cocycle to satisfy such an equation.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 3 , May 2007 , pp. 535 - 556
- Copyright
- Copyright © Cambridge Philosophical Society 2007
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