Proc. London Math. Soc.
Abstract of Paper PLMS 1565

Alexander C. R. Belton

Some self-adjoint quantum semimartingales

It is proved that the quantum stochastic gauge integral preserves self-adjointness of vacuum-adapted processes. This fact, together with bounded perturbations and the link between the Hudson--Parthasarathy calculus and vacuum-adapted theory, is used to produce many self-adjoint quantum semimartingales.

2000 Mathematics Subject Classification: 81S25, 47D06, 47A56.


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