New operator identities and integration formulas regarding to Hermite polynomials obtained via the operator ordering method
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Publication:1013776
DOI10.1007/s10773-008-9819-6zbMath1162.81404OpenAlexW1967254474MaRDI QIDQ1013776
Publication date: 21 April 2009
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-008-9819-6
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Axiomatic quantum field theory; operator algebras (81T05)
Related Items (5)
Simple approach to deriving some operator ordering formulas in quantum optics ⋮ Wigner function of the two-mode squeezing-enhanced vacuum state ⋮ Entanglement properties of output field from beam splitter with the generalized two-mode squeezed vacuum state inputs ⋮ Single-mode excited GHZ-type entangled coherent state ⋮ From Weyl expansion of operator to ordering of operator and its new applications
Cites Work
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- A kind of four-mode continuous-variable entangled state generated by beamsplitter and parametric down-conversions
- Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations
- Optical Fresnel transform as a correspondence of the \(\text{SU}(1,1)\) squeezing operator composed of quadratic combination of canonical operators and the entangled state
- Application of entangled state representation to deriving normally ordered expansion of 1-dimensional Coulomb potential
- Normally ordered expansion of the inverse of the coordinate operator and the momentum operator
- Coherent and Incoherent States of the Radiation Field
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