On the role of Hermite-like polynomials in the Fock representations of Gaussian states

DOI10.1063/1.5127516zbMath1472.81021arXiv1905.10873OpenAlexW3192895657MaRDI QIDQ4958110

Gianfranco L. Pierobon, Gianfranco Cariolaro, Giuseppe Dattoli

Publication date: 6 September 2021

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

Full work available at URL: https://arxiv.org/abs/1905.10873

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum state spaces, operational and probabilistic concepts (81P16) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Quantum detection and estimation theory
• Homogeneous and periodic spaces of entire functions
• Generalized polynomials, operational identities and their applications
• Quantum communications
• Fock expansion of multimode pure Gaussian states
• Quantum Continuous Variables
• Coherent and Incoherent States of the Radiation Field

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