ROTATION INVARIANT INTERACTING FOCK SPACES

DOI10.1142/S0219025707002701zbMath1125.46052OpenAlexW2055466645MaRDI QIDQ5297755

Vitonofrio Crismale, Yun Gang Lu

Publication date: 13 July 2007

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025707002701

zbMATH Keywords

interacting Fock spacesmixed momentssymmetrization map

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Noncommutative probability and statistics (46L53) Measures and integrals in product spaces (28A35)

Related Items (5)

From discrete to continuous monotone C*-algebras via quantum central limit theorems ⋮ Limits of some weighted Cesaro averages ⋮ Distributions for nonsymmetric monotone and weakly monotone position operators ⋮ GAUSSIAN TYPE INTERACTING FOCK SPACES ⋮ INTERACTING FOCK SPACES AND THE MOMENTS OF THE LIMIT DISTRIBUTIONS FOR QUANTUM RANDOM WALKS

Cites Work

• The Wigner semi-circle law in quantum electro dynamics
• Interacting Fock Spaces Related to the Anderson Model
• Interacting Fock Spaces and Gaussianization of Probability Measures
• On the interacting Free Fock space and the deformed Wigner law
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES

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