Peer-Reviewed Journal Details
Mandatory Fields
Lindsay, J. Martin; Wills, Stephen J. ;
2007
January
Mathematical Proceedings of The Cambridge Philosophical Society
Quantum stochastic operator cocycles via associated semigroups.
Published
()
Optional Fields
Operator cocycle; quantum stochastic differential equation; generator; semigroup; exponential domain.
142
3
535
556
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.
0305-0041
https://doi.org/10.1017/S0305004106009923
Grant Details