Quantum white noise Gaussian kernel operators

Sami H. Altoum, Hakeem A. Othman and Hafedh Rguigui

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 468-476

Abstract: The quantum white noise (QWN) Gaussian kernel operators (with operators parameters) acting on nuclear algebra of white noise operators is introduced by means of QWN- symbol calculus. The quantum-classical correspondence is studied. An integral representation in terms of the QWN- derivatives and their adjoints is obtained. Under some conditions on the operators parameters, we show that the composition of the QWN-Gaussian kernel operators is a QWN-Gaussian kernel operator with other parameters. Finally, we characterize the QWN-Gaussian kernel operators using important connection with the QWN- derivatives and their adjoints.

Keywords: QWN-Gaussian operators; QWN-derivatives; QWN-symbol; Integral representation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:468-476

DOI: 10.1016/j.chaos.2017.08.039

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