Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method

Details Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method

2006-06-21

arxiv.org/abs/math/0606545v1

Mathematics

Functional Analysis

9 pages; to appear in special volume of Proc. Indian Acad. Sci. Math. Sci. dedicated to Kalyan Sinha

Scientific paper

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.

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