Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method
Functional Analysis
2007-05-23 v1 Mathematical Physics
math.MP
Probability
Abstract
A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato Theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.
Cite
@article{arxiv.math/0606545,
title = {Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method},
author = {J. Martin Lindsay and Stephen J. Wills},
journal= {arXiv preprint arXiv:math/0606545},
year = {2007}
}
Comments
9 pages; to appear in special volume of Proc. Indian Acad. Sci. Math. Sci. dedicated to Kalyan Sinha