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Wick differential and Poisson equations associated to the \texttt{QWN}-Euler operator acting on generalized operators

In: Mathematica Slovaca, vol. 66, no. 6
Hafedh Rguigui
Detaily:
Rok, strany: 2016, 1487 - 1500
Kľúčové slová:
Wick differential equation, (\texttt{QWN})-Gross Laplacian, (\texttt{QWN})-conservation operator, (\texttt{QWN})-Euler operator, Poisson equation
O článku:
In this paper we study the homogeneous Wick differential equation associated to the quantum white noise (\texttt{QWN}) Euler operator $ΔEg,Q$ acting on generalized operators. $ΔEg,Q$ is defined as sum of the extension of the \texttt{QWN}-Gross Laplacian and the \texttt{QWN}-conservation operator. It is shown that the operator $ΔEg,Q$ has a representation in terms of the \texttt{QWN}-derivatives $\{Dc-, Dc+: c\in N \}$. The poisson equation is worked out as a non homogeneous Wick differential equation associated to $ΔEg,Q$.
Ako citovať:
ISO 690:
Rguigui, H. 2016. Wick differential and Poisson equations associated to the \texttt{QWN}-Euler operator acting on generalized operators. In Mathematica Slovaca, vol. 66, no.6, pp. 1487-1500. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0238

APA:
Rguigui, H. (2016). Wick differential and Poisson equations associated to the \texttt{QWN}-Euler operator acting on generalized operators. Mathematica Slovaca, 66(6), 1487-1500. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0238
O vydaní:
Publikované: 1. 12. 2016