Simple approach to deriving some operator ordering formulas in quantum optics

DOI10.1007/s10773-010-0399-xzbMath1200.81172OpenAlexW2044782689MaRDI QIDQ601826

Heng-Mei Li, Hong-Chun Yuan

Publication date: 29 October 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0399-x

zbMATH Keywords

Hermite polynomialBaker-Hausdorff formulaoperator ordering identities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum optics (81V80)

Related Items (7)

Entangled projector and a new approach for obtaining the entangled Wigner operator ⋮ On the \(s\)-parameterized quantization scheme for Dirac's representation theory ⋮ Infinite-dimensional Kraus operators for describing a thermal channel with self-Kerr interaction ⋮ Dissipation of Gaussian-enhenced chaotic state ⋮ The s-ordered operator expansions of one-mode and two-mode Fresnel operators and their applications ⋮ General differential formalism of normally and anti-normally ordering Bose operators ⋮ \(S\)-ordered expansion of the intermediate representation projector and its applications

Cites Work

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• New operator identities and integration formulas regarding to Hermite polynomials obtained via the operator ordering method
• Statistical properties of the generalized photon-added pair coherent state
• Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations
• Ordering of Boson operator functions by the Hausdorff similarity transform
• Quantum optical implementation of Grover's algorithm
• Normal Ordering Expansion of Hermite Polynomials of Radial Coordinate Operator in Three-Dimensional Coordinate Space
• Normally ordered expansion of the inverse of the coordinate operator and the momentum operator
• Coherent and Incoherent States of the Radiation Field
• Generalized Fredholm operator equation and its solution based on intermediate coordinate-momentum representation

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