Factorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator

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dc.creatorVourdas, A.
dc.creatorBrif, C.
dc.creatorMann, A.
dc.date1996-06-22
dc.date.accessioned2026-07-07T12:04:23Z
dc.date.available2026-07-07T12:04:23Z
dc.descriptionThe inner-outer part factorisation of analytic representations in the unit disk is used for an effective characterisation of the number-phase statistical properties of a quantum harmonic oscillator. It is shown that the factorisation is intimately connected to the number-phase Weyl semigroup and its properties. In the Barut-Girardello analytic representation the factorisation is implemented as a convolution. Several examples are given which demonstrate the physical significance of the factorisation and its role for quantum statistics. In particular, we study the effect of phase-space interference on the factorisation properties of a superposition state.
dc.descriptionto appear in J. Phys. A, LaTeX, 13 pages, no figures. More information on http://www.technion.ac.il/~brif/science.html
dc.identifierhttps://arxiv.org/abs/quant-ph/9606023
dc.identifierhttp://arxiv.org/abs/quant-ph/9606023
dc.identifierJ.Phys.A29:5887-5898,1996
dc.identifierdoi:10.1088/0305-4470/29/18/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208116
dc.subjectQuantum Physics
dc.titleFactorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator
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