Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method

Mathematics – Functional Analysis

Scientific paper

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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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