Journal
CHAOS SOLITONS & FRACTALS
Volume 84, Issue -, Pages 41-48Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2015.12.023
Keywords
Space of entire function; QWN-conservation operator; Number operator; Wick derivation
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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