4 Citations (Scopus)

Abstract

Using fermion martingale integrators, we construct quantum stochastic integrals in the plane; thus extending the Itô-Clifford theory to a two-parameter set-up and at the same time providing an extension of the classical stochastic integrals of the first and second type of Wong and Zakai to a non-commutative quantum context. It is shown that these non-commutative stochastic integrals are centred martingales and are mutually pairwise orthogonal.
Original languageEnglish
Pages (from-to)389-399
Number of pages11
JournalReports on Mathematical Physics
Volume42
Issue number3
DOIs
Publication statusPublished - 1998

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