Peer-Reviewed Journal Details
Mandatory Fields
Wills, Stephen J.;
2010
Unknown
Communications on Stochastic Analysis
E-semigroups subordinate to CCR flows
Published
()
Optional Fields
E-semigroup, cocycle, subordination, quantum stochastic differential equation.
4
4
579
592
The subordinate E-semigroups of a fixed E-semigroup α are in one-to-one correspondence with local projection-valued cocycles of α. For the CCR flow we characterise these cocycles in terms of their stochastic generators, that is, in terms of the coefficient driving the quantum stochastic differential equation of Hudson-Parthasarathy type that such cocycles necessarily satisfy. In addition various equivalence relations and order-type relations on E-semigroups are considered, and shown to work especially well in the case of those semigroups subordinate to the CCR flows by exploiting our characterisation.
0973-9599
https://www.math.lsu.edu/cosa/
0.31390/cosa.4.4.08
Grant Details