E-semigroups subordinate to CCR flows
Loading...
Files
Published version
Date
2010-01-12
Authors
Wills, Stephen J.
Journal Title
Journal ISSN
Volume Title
Publisher
Serial Publications
Published Version
Abstract
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.
Description
Keywords
E-semigroup , Cocycle , Subordination , Quantum stochastic differential equation
Citation
Wills, S.J. (2010) ‘E-semigroups subordinate to CCR flows’, Communications on Stochastic Analysis, 4(4), pp. 579-592. https://doi.org/10.31390/cosa.4.4.08.
Link to publisher’s version
Collections
Copyright
© 2010