On sums of \(q\)-independent \(\text{SU}_ q(2)\) quantum variables

DOI10.1007/BF02096836zbMath0788.60016OpenAlexW1490114786MaRDI QIDQ1801542

Romuald Lenczewski

Publication date: 24 May 1994

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

Full work available at URL: https://doi.org/10.1007/bf02096836

zbMATH Keywords

martingalesalgebraic quantum central limit theoremstwo-dimensional spin representation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Quantum random walk for U q(su(2)) and a new example of quantum noise ⋮ 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 ⋮ Unification of Independence in Quantum Probability

Cites Work

• Unnamed Item
• An example of a generalized Brownian motion
• Quantum q-white noise and a q-central limit theorem
• Addition of certain non-commuting random variables
• A new example of `independence' and `white noise'
• Quantum central limit theorems for weakly dependent maps. I
• A q-analog of the quantum central limit theorem for SUq(2)
• An algebraic version of the central limit theorem
• An algebraic central limit theorem in the anti-commuting case

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