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https://www.ias.ac.in/article/fulltext/pmsc/116/04/0519-0529

Quantum probability; stochastic cocycle; quantum stochastic differential equation; contraction semigroup; Trotter-Kato

A new method for the construction of Fock-adapted quantum stochastic operator 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.

J Martin Lindsay¹ Stephen J Wills²

1. Department of Mathematics and Statistics, Lancaster University, Lancaster - LA1 4YF, UK
2. School of Mathematical Sciences, University College Cork, Cork, Ireland

Published

November 2006