A q-analog of the quantum central limit theorem for SUq(2)

DOI10.1063/1.529546zbMath0761.60078OpenAlexW1999025535MaRDI QIDQ4032269

Romuald Lenczewski, Krzysztof Podgórski

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529546

zbMATH Keywords

central limit theoremgenerating functions for coherent states

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other physical applications of random processes (60K40)

Related Items

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 ⋮ Filtered random variables, bialgebras, and convolutions ⋮ On sums of \(q\)-independent \(\text{SU}_ q(2)\) quantum variables ⋮ A q-analog of the quantum central limit theorem for SUq(2), q complex

Cites Work

• An example of a generalized Brownian motion
• Stochastic integration on the full Fock space with the help of a kernel calculus
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• A completeness relation for the q-analogue coherent states by q-integration
• An algebraic version of the central limit theorem
• An algebraic central limit theorem in the anti-commuting case
• Hilbert spaces of analytic functions and generalized coherent states