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Powers of quantum white noise derivatives
Journal article   Peer reviewed

Powers of quantum white noise derivatives

Aymen Ettaieb, Habib Ouerdiane and Hafedh Rguigui
Infinite dimensional analysis, quantum probability, and related topics, Vol.17(3), p.1450018
09/2014
DOI: https://doi.org/10.1142/S0219025714500180

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Quantum Science & Technology Science & Technology Statistics & Probability
We introduce a new operator obtained from the quantum white noise (QWN) derivatives which satisfies new important commutation relations generalizing those of the renormalized power white noise Lie algebra introduced by Accardi, Boukas and Franz (see Ref. 5) without using renormalization conditions.

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