On The Generators Of Quantum Stochastic Operator Cocycles
Mathematical Physics
2007-05-23 v3 math.MP
Operator Algebras
Abstract
The stochastic generators of Markov-regular operator cocycles on symmetric Fock space are studied in a variety of cases: positive cocycles, projection cocycles, and partially isometric cocycles. Moreover a class of transformations of positive contraction cocycles is exhibited which leads to a polar decomposition result.
Cite
@article{arxiv.math-ph/0510040,
title = {On The Generators Of Quantum Stochastic Operator Cocycles},
author = {Stephen Wills},
journal= {arXiv preprint arXiv:math-ph/0510040},
year = {2007}
}
Comments
15 pages; accepted in special volume of Markov Processes and Related Fields for the John Lewis Memorial Conference, DIT Dublin 2005. An error rectified; illustrative examples added