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        Multiparameter Quantum Stochastic Processes

        Author
        Spring, William Joseph
        Attention
        2299/9742
        Abstract
        We extend the non-commutative constructions outlined in Ref.1–3 to the general n parameter case, these being integrals over an n - dimensional parameter space, employing martingales as integrand. We extend previous results in type one,1,4 type two1,5 stochastic integrals and introduce new integrals for the Clifford sheet. These stochastic integrals are orthogonal, centred L2 - martingales, obeying isometry properties. We develop the construction to consider general martingale representations for the Clifford sheet.
        Publication date
        2011-01
        Published in
        Quantum Probability and Related Topics
        Other links
        http://hdl.handle.net/2299/9742
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