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The Heisenberg Relation - Mathematical Formulations

The Heisenberg Relation - Mathematical Formulations

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).

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Main Authors: Kadison, R.V., Liu, Z.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146846
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spelling irk-123456789-1468462019-02-12T01:24:19Z The Heisenberg Relation - Mathematical Formulations Kadison, R.V. Liu, Z. 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). 2014 Article The Heisenberg Relation - Mathematical Formulations / R.V. Kadison, Z. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 47L60; 47L90; 46L57; 81S99 DOI:10.3842/SIGMA.2014.09 http://dspace.nbuv.gov.ua/handle/123456789/146846 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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).
format Article
author Kadison, R.V.
Liu, Z.
spellingShingle Kadison, R.V.
Liu, Z.
The Heisenberg Relation - Mathematical Formulations
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Kadison, R.V.
Liu, Z.
author_sort Kadison, R.V.
title The Heisenberg Relation - Mathematical Formulations
title_short The Heisenberg Relation - Mathematical Formulations
title_full The Heisenberg Relation - Mathematical Formulations
title_fullStr The Heisenberg Relation - Mathematical Formulations
title_full_unstemmed The Heisenberg Relation - Mathematical Formulations
title_sort heisenberg relation - mathematical formulations
publisher Інститут математики НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/146846
citation_txt The Heisenberg Relation - Mathematical Formulations / R.V. Kadison, Z. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 26 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT kadisonrv theheisenbergrelationmathematicalformulations
AT liuz theheisenbergrelationmathematicalformulations
AT kadisonrv heisenbergrelationmathematicalformulations
AT liuz heisenbergrelationmathematicalformulations
first_indexed 2023-05-20T17:25:47Z
last_indexed 2023-05-20T17:25:47Z
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