PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE

DOI10.1142/S021902571000405XzbMath1201.30073OpenAlexW2053811388MaRDI QIDQ3580209

Zouhaïr Mouayn, Ahmed Touhami

Publication date: 11 August 2010

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/s021902571000405x

zbMATH Keywords

coherent statesprobability distributionsphoton counting statisticsgeneralized Bargmann-Fock spaces

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) Quantum state spaces, operational and probabilistic concepts (81P16) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (5)

Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels ⋮ Husimi's Q-function of the isotonic oscillator in a generalized negative binomial states representation ⋮ Analysis of generalized Poisson distributions associated with higher Landau levels ⋮ A generalized Euler probability distribution ⋮ Generalized Wehrl entropies and Euclidean Landau levels

Cites Work

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• Spectral properties of the Cauchy transform on \(L_2(\mathbb C,e^{-|z|^2}\lambda(z))\)
• Spectral decomposition and resolvent kernel for a magnetic Laplacian in Cn
• Harmonic Analysis in Phase Space. (AM-122)
• Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants
• Coherent states associated with the wavefunctions and the spectrum of the isotonic oscillator

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