Quantum Stochastic Operator Cocycles via Associated Semigroups

Details Quantum Stochastic Operator Cocycles via Associated Semigroups Quantum Stochastic Operator Cocycles via Associated Semigroups

2005-12-16

arxiv.org/abs/math/0512398v2

Mathematics

Functional Analysis

20 pages; to appear in Math Proc Cambridge Philos Soc. Minor edits carried out

Scientific paper

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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