A new approach to non-commutative white noise analysis

DOI10.1016/S0764-4442(98)80126-2zbMath0920.46045OpenAlexW2081244003MaRDI QIDQ4217566

John E. Gough

Publication date: 16 September 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(98)80126-2

zbMATH Keywords

Brownian motionstochastic evolutionWick's theoremspace of tempered distributionsHudson-Parthasarathy theory of quantum stochastic calculuscommutativity of the Itô white noiseconversion from Stratonovich to Itô formalismnon-commutative white noisenormal ordering of the noise fieldsStratanovich white noisevon Neuman algebraswhite noise commutation relations

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (3)

Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode ⋮ Asymptotic stochastic transformations for nonlinear quantum dynamical systems. ⋮ Quantum flows as Markovian limit of emission, absorption and scattering interactions

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