Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method
arXiv:math/0606545
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.
9 pages; to appear in special volume of Proc. Indian Acad. Sci. Math. Sci. dedicated to Kalyan Sinha