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Quantum Lévy white noise derivatives with their applications to implementation problem
Journal article   Peer reviewed

Quantum Lévy white noise derivatives with their applications to implementation problem

Anis Riahi
Random operators and stochastic equations, Vol.22(4), pp.227-240
01/12/2014
DOI: https://doi.org/10.1515/rose-2014-0021

Abstract

42C10 46B07 Creation and annihilation derivatives implementation problem quantum Lévy white noise derivatives Wick product
On the basis of the quantum Lévy white noise theory we introduce the notion of creation and annihilation derivatives of Fock space operators and examine their fundamental properties, in particular, with respect to the Wick product. Next, we solve the implementation problem witch is reduced to a system of differential equations containing the quantum Lévy white noise derivatives.

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