Quantum stochastic operator cocycles via associated semigroups

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Date
2007-05-01
Authors
Lindsay, J. Martin
Wills, Stephen J.
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Publisher
Cambridge University Press
Published Version
10.1017/S0305004106009923
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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.
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Keywords
Operator cocycle , Quantum stochastic differential equation , Generator , Semigroup , Exponential domain
Citation
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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https://hdl.handle.net/10468/14811
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Mathematical Sciences- Journal Articles
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© 2007, Cambridge Philosophical Society. This material is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works.