Construction of some quantum stochastic operator cocycles by the semigroup method

Lindsay, J. Martin; Wills, Stephen J.

Construction of some quantum stochastic operator cocycles by the semigroup method

Files

0519-0529.pdf(184.62 KB)

Date

2006-11

Authors

Lindsay, J. Martin

Wills, Stephen J.

Publisher

Indian Academy of Sciences; Springer

Published Version

10.1007/bf02829707

Abstract

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.

Keywords

Quantum probability , Stochastic cocycle , Quantum stochastic differential equation , Contraction semigroup , Trotter-Kato

Citation

Lindsay, J.M. and Wills, S.J. (2006) ‘Construction of some quantum stochastic operator cocycles by the semigroup method’, Proceedings of the Indian Academy of Sciences - Section A, 116(4), pp. 519–529. https://doi.org/10.1007/BF02829707.