dorsal/arxiv
View SchemaFactorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator
| Authors | A. Vourdas, C. Brif, A. Mann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9606023 |
| URL | https://arxiv.org/abs/quant-ph/9606023 |
| DOI | 10.1088/0305-4470/29/18/018 |
| Journal | J.Phys.A29:5887-5898,1996 |
Abstract
The 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.
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"abstract": "The inner-outer part factorisation of analytic representations in the unit\ndisk is used for an effective characterisation of the number-phase statistical\nproperties of a quantum harmonic oscillator. It is shown that the factorisation\nis intimately connected to the number-phase Weyl semigroup and its properties.\nIn the Barut-Girardello analytic representation the factorisation is\nimplemented as a convolution. Several examples are given which demonstrate the\nphysical significance of the factorisation and its role for quantum statistics.\nIn particular, we study the effect of phase-space interference on the\nfactorisation properties of a superposition state.",
"arxiv_id": "quant-ph/9606023",
"authors": [
"A. Vourdas",
"C. Brif",
"A. Mann"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/29/18/018",
"journal_ref": "J.Phys.A29:5887-5898,1996",
"title": "Factorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/9606023"
},
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