The Quantum Mechanics Canonically Associated to Free Probability II: The Normal and Inverse Normal Order Problem

DOI10.1142/S1230161222500184OpenAlexW4320028524MaRDI QIDQ6157157

Tarek Hamdi, Yun Gang Lu, Luigi Accardi

Publication date: 19 June 2023

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161222500184

zbMATH Keywords

quantum mechanicsnormal orderinteracting Fock spaceinverse normal ordersemi-circle random variable

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Bergman spaces and Fock spaces (30H20)

Related Items (1)

The Quantum Mechanics Canonically Associated to Free Probability I: Free Momentum and Associated Kinetic Energy

Cites Work

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• The Wigner semi-circle law in quantum electro dynamics
• The quantum moment problem for a classical random variable and a classification of interacting Fock spaces
• The Quantum Mechanics Canonically Associated to Free Probability I: Free Momentum and Associated Kinetic Energy

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