arXiv:math/0512398 · Mathematical Proceedings of the Cambridge Philosophical Society

Quantum stochastic operator cocycles via associated semigroups

J. Martin Lindsay, Stephen J. Wills

Published May 1, 2007• 18 citations

Abstract

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.

DOI: 10.1017/s0305004106009923

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