On the representation of quantum mechanics on phase space
type: Item
instance of: scholarly article
title: On the representation of quantum mechanics on phase space
zbMATH Open document ID: 0803.46088
DOI: 10.1007/BF00671786
published in: International Journal of Theoretical Physics
publication date: 1993-09-30T00:00:00Z
review text: The author gives a result on the approximate representation of quantum mechanical observables and states in phase space. The actual analytic construction for the given example relies on methods that are well studied in the literature and are known as ``Wick'' and ``Anti-Wick'' symbols [for a review see Paragraph 24 of \textit{M. A. Shubin}, `Pseudodifferential operators and spectral theory', Berlin (1987; Zbl 0616.47040)] or coherent states [see, e.g., \textit{E. H. Lieb}, Thomas-Fermi and related theories of atoms and molecules, Rev. Mod. Phys., 53, 603-641 (1981), for a particular concrete application in atomic physics].
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81S30
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81R30
zbMATH DE Number: 417103
zbMATH Keywords: wick and anti-wick symbols
zbMATH Keywords: approximate representation of quantum mechanical observables
zbMATH Keywords: states in phase space
zbMATH Keywords: coherent states
author: Werner Stulpe
reviewed by: Heinz Siedentop
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 417103