On q-deformed quantum stochastic calculus

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dc.creatorSniady, Piotr
dc.date2000-07-26
dc.date.accessioned2026-07-07T04:27:55Z
dc.date.available2026-07-07T04:27:55Z
dc.descriptionIn this paper we investigate a quantum stochastic calculus build of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Namely, we introduce a deformation of a number of particles operator which has simple commutation relations with well known q-deformed creation and annihilation operators. Since all operators considered in this theory are bounded we do not deal with some difficulties of a non deformed theory of Hudson and Parthasarathy. We define stochastic integrals and estimate them in the operator norm. We prove Ito's formula as well.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0007035
dc.identifierhttp://arxiv.org/abs/math-ph/0007035
dc.identifierProbab. Math. Statist. 21 (2001), no. 1, 231-251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56596
dc.subjectMathematical Physics
dc.subjectProbability
dc.subjectQuantum Algebra
dc.subject81S25; 05A30
dc.titleOn q-deformed quantum stochastic calculus
dc.typetext

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