Series of iterated quantum stochastic integrals

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2000Publisher:Springer Berlin Heidelberg

Authors: Stéphane Attal; Robin L. Hudson;

doi: 10.1007/bfb0103801

Series of iterated quantum stochastic integrals

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Abstract

We consider series of iterated non-commutative stochastic integrals of scalar operators on the boson Fock space. We give a sufficient condition for these series to converge and to define a reasonable operator. An application of this criterion gives a condition for the convergence of some formal series of generalized integrator processes such as considered in [CEH].

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