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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 009, 40 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.009 (Mi sigma874) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The Heisenberg Relation — Mathematical Formulations

Richard V. Kadisona, Zhe Liub

a Department of Mathematics, University of Pennsylvania, USA
b Department of Mathematics, University of Central Florida, USA
Full-text PDF (546 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2014.009
Abstract: We study some of the possibilities for formulating the Heisenberg relation of quantum mechanics in mathematical terms. In particular, we examine the framework discussed by Murray and von Neumann, the family (algebra) of operators affiliated with a finite factor (of infinite linear dimension).
Keywords: Heisenberg relation; unbounded operator; finite von Neumann algebra; Type II$_1$ factor.
Received: July 26, 2013; in final form January 18, 2014; Published online January 25, 2014
Bibliographic databases:
Document Type: Article
MSC: 47L60; 47L90; 46L57; 81S99
Language: English
Citation: Richard V. Kadison, Zhe Liu, “The Heisenberg Relation — Mathematical Formulations”, SIGMA, 10 (2014), 009, 40 pp.
Citation in format AMSBIB
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\paper The Heisenberg Relation~--- Mathematical Formulations
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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