Characterization of the QWN-conservation operator and applications

Hafedh Rguigui

Chaos, Solitons & Fractals, 2016, vol. 84, issue C, 41-48

Abstract: Based on the finding that the quantum white noise (QWN) conservation operator is a Wick derivation operator acting on white noise operators, we characterize the aforementioned operator by using an extended techniques of rotation invariance operators in a first place. In a second place, we use a new idea of commutation relations with respect to the QWN-derivatives. Eventually, we use the action on the number operator. As applications, we invest these results to study three types of Wick differential equations.

Keywords: Space of entire function; QWN-conservation operator; Number operator; Wick derivation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:84:y:2016:i:c:p:41-48

DOI: 10.1016/j.chaos.2015.12.023

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