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Stochastics

Quantum stochastic integral representations of Fock space operators

Un Cig Ji, Nobuaki Obata

Published Jun 1, 2009• 18 citations
Publisher

Abstract

An (unbounded) operator Ξ on Boson Fock space over L 2(R +) is called regular if it is an admissible white noise operator such that the conditional expectations give rise to a regular quantum martingale. We prove that an admissible white noise operator is regular if and only if it admits a quantum stochastic integral representation.
DOI
10.1080/17442500902919645

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