Quantum q-white noise and a q-central limit theorem

DOI10.1007/BF02099136zbMath0734.60048MaRDI QIDQ811007

Michael Schürmann

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum stochastic processesquantum Brownian motionAzéma martingalesq-interpolations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Martingales with continuous parameter (60G44) Quantum stochastic calculus (81S25)

Related Items (15)

Quantum random walk for U q(su(2)) and a new example of quantum noise ⋮ THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS ⋮ Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Almost commutative algebra and differential calculus on the quantum hyperplane ⋮ Random walk and the heat equation on superspace and anyspace ⋮ A q deformation of the Gauss distribution ⋮ On certain states on free *-algebras and their GNS representations ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS ASSOCIATED WITH KESTEN DISTRIBUTIONS AND RELATED POISSON PROCESSES ⋮ Random Walk and Diffusion on a Smash Line Algebra ⋮ OPERATOR PROCESSES MAJORIZING THEIR QUADRATIC VARIATION ⋮ On sums of \(q\)-independent \(\text{SU}_ q(2)\) quantum variables ⋮ The qq-bit (III): Symmetric q-Jordan–Wigner embeddings ⋮ MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS ⋮ The qq-bit (I): Central limits with left q-Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of q ⋮ Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies

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