Quantum Gross Laplacian and Applications

Simple item page
dc.creatorOuerdiane, Habib
dc.creatorHorrigue, Samah
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:35:00Z
dc.date.available2026-07-07T09:35:00Z
dc.descriptionIn this paper, we introduce and study a noncommutative extension of the Gross Laplacian, called quantum Gross Laplacian. Then, applying the quantum Gross Laplacian to the particular case where the operator is the multiplication operator, we find a relation between classical and quantum Gross Laplacian. As application, we give explicit solution of linear quantum white noise differential equation. In particular, we give a explicit solution of the quantum Gross heat equation.
dc.identifierhttps://arxiv.org/abs/0804.3938
dc.identifierhttp://arxiv.org/abs/0804.3938
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159694
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject60H40, 60H15, 46F25, 46G20, 81S25
dc.titleQuantum Gross Laplacian and Applications
dc.typetext

Files

Collections

arXiv