Newton-Leibniz integration for ket-bra operators in quantum mechanics. V: Deriving normally ordered bivariate-normal-distribution form of density operators and developing their phase space formalism

DOI10.1016/j.aop.2007.08.009zbMath1139.81025OpenAlexW2068265301WikidataQ122953293 ScholiaQ122953293MaRDI QIDQ927671

Hong-Yi Fan

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.aop.2007.08.009

zbMATH Keywords

entangled state representationthe IWOP techniqueentangled Husimi operatorbivariate-normal-distribution for normally ordered operatorsgeneralized Wigner operatorintegration for ket-bra operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (9)

RESOLUTION OF THE UNITY OF NORMALLY ORDERED GAUSSIAN OPERATOR FORM FOR CONSTRUCTING NEW QUANTUM MECHANICAL REPRESENTATIONS ⋮ A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms ⋮ Fock-space projector studied in Weyl ordering approach ⋮ Photon-number distribution and Wigner function of generalized squeezed thermal state ⋮ Nonclassicality and decoherence of photon-subtraction squeezing-enhanced thermal state ⋮ A new kind of bipartite entangled state and some of its applications ⋮ Time evolution of the Wigner operator as a quasi-density operator in amplitude dessipative channel ⋮ Generalized entangled Wigner operator for unifying three quantization schemes of entangled systems ⋮ 𝔓-quantization, 𝔔-quantization and Weyl quantization of a ray in classical phase space

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