On the interacting Free Fock space and the deformed Wigner law

DOI10.1017/S0027763000006097zbMath0879.46042OpenAlexW2137215894MaRDI QIDQ4343824

Yun Gang Lu

Publication date: 19 January 1998

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000006097

zbMATH Keywords

joint distributionvacuum expectationdeformed Gaussianitydeformed Wigner distributionIFF spaceinteracting Free Fock spaceproduct of creation and annihilation operators

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (11)

From discrete to continuous monotone C*-algebras via quantum central limit theorems ⋮ Quantum walk in terms of quantum Bernoulli noise and quantum central limit theorem for quantum Bernoulli noise ⋮ ROTATION INVARIANT INTERACTING FOCK SPACES ⋮ DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS ⋮ Quantum stochastic integral representations on interacting Fock space ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS ASSOCIATED WITH KESTEN DISTRIBUTIONS AND RELATED POISSON PROCESSES ⋮ CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES ⋮ DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY ⋮ ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE ⋮ The qq-bit (I): Central limits with left q-Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of q ⋮ Interacting Fock Spaces and Gaussianization of Probability Measures

Cites Work

• Characteristic vectors of bordered matrices with infinite dimensions
• On the distribution of the roots of certain symmetric matrices
• A new example of `independence' and `white noise'
• Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)

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