Position–momentum decomposition of linear operators defined on algebras of polynomials

DOI10.1063/5.0008155zbMath1456.81269OpenAlexW3119489473MaRDI QIDQ5148678

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Publication date: 4 February 2021

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

Full work available at URL: https://doi.org/10.1063/5.0008155

Mathematics Subject Classification ID

Combinatorial probability (60C05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Probabilistic measure theory (60A10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

A study of random variables in terms of the number operator ⋮ Quantum operators of the semicircle distributions

Cites Work

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• Interacting Fock Spaces and Gaussianization of Probability Measures
• Gaussian Hilbert Spaces
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• A characterization of probability measures in terms of semi-quantum operators
• MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES

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