A characterization of the classical states of the quantum harmonic oscillator by means of de Finetti's theorem
type: Item
instance of: scholarly article
title: A characterization of the classical states of the quantum harmonic oscillator by means of de Finetti's theorem
zbMATH Open document ID: 0668.60095
DOI: 10.1007/BF01238810
author: S. H. Smith
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: Integral representations of statistical operators in terms of coherent states are derived by means of a quantum version of the Poisson limit of de Finetti's theorem [see \textit{R. L. Hudson} and \textit{G. R. Moody}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 33, 343-351 (1976; Zbl 0304.60001)].
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60A99
zbMATH DE Number: 4094558
zbMATH Keywords: Integral representations of statistical operators
zbMATH Keywords: Poisson limit
zbMATH Keywords: de Finetti's theorem
MaRDI profile type: Publication
cites work: Locally normal symmetric states and an analogue of de Finetti's theorem
cites work: On artificial machine learning: some ideas in search of a theory†
cites work: The simplex structure of the classical states of the quantum harmonic oscillator
cites work: Q3675249
cites work: Q5512461
cites work: Q4765810
full work available at URL: https://doi.org/10.1007/bf01238810
OpenAlex ID: W2085011378
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description: scientific article; zbMATH DE number 4094558