Quantum Stochastic Operator Cocycles via Associated Semigroups
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
20 pages; to appear in Math Proc Cambridge Philos Soc. Minor edits carried out
20 pages; to appear in Math Proc Cambridge Philos Soc. Minor edits carried out