A characterization of probability measures in terms of semi-quantum operators

DOI10.1142/S0219025719500097zbMath1423.81074OpenAlexW2950144212WikidataQ127683024 ScholiaQ127683024MaRDI QIDQ5234905

Aurel I. Stan, Gabriela Popa

Publication date: 7 October 2019

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/s0219025719500097

zbMATH Keywords

quantum operatorssemi-quantum operatorspolynomially factorizable probability measurespolynomially symmetric probability measures

Mathematics Subject Classification ID

White noise theory (60H40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (3)

A study of random variables in terms of the number operator ⋮ 1-Meixner random vectors ⋮ Position–momentum decomposition of linear operators defined on algebras of polynomials

Cites Work

• Multiplicative renormalization and generating functions. II.
• Multiplicative renormalization and generating functions. I.
• Gaussian Hilbert Spaces
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES
• INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES
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