The quantum moment problem for a classical random variable and a classification of interacting Fock spaces

DOI10.1142/S0219025722500035zbMath1490.82012OpenAlexW4214807348MaRDI QIDQ5071339

Luigi Accardi, Yun Gang Lu

Publication date: 21 April 2022

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/s0219025722500035

zbMATH Keywords

interacting Fock spacescanonical quantum decomposition of a classical random variablecanonical quantum moment problem for a classical random variable

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Two-dimensional quantum Bernoulli process and the related central limit theorem ⋮ The Quantum Mechanics Canonically Associated to Free Probability II: The Normal and Inverse Normal Order Problem ⋮ The qq-bit (III): Symmetric q-Jordan–Wigner embeddings ⋮ The qq-bit (I): Central limits with left q-Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of q

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