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).

Saved in:
Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2014
Main Authors: Kadison, R.V., Liu, Z.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146846
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Heisenberg Relation - Mathematical Formulations / R.V. Kadison, Z. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 26 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-146846
record_format dspace
spelling Kadison, R.V.
Liu, Z.
2019-02-11T17:08:54Z
2019-02-11T17:08:54Z
2014
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
https://nasplib.isofts.kiev.ua/handle/123456789/146846
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).
This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
The Heisenberg Relation - Mathematical Formulations
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title The Heisenberg Relation - Mathematical Formulations
spellingShingle The Heisenberg Relation - Mathematical Formulations
Kadison, R.V.
Liu, Z.
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
author Kadison, R.V.
Liu, Z.
author_facet Kadison, R.V.
Liu, Z.
publishDate 2014
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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).
issn 1815-0659
url https://nasplib.isofts.kiev.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.
work_keys_str_mv AT kadisonrv theheisenbergrelationmathematicalformulations
AT liuz theheisenbergrelationmathematicalformulations
AT kadisonrv heisenbergrelationmathematicalformulations
AT liuz heisenbergrelationmathematicalformulations
first_indexed 2025-12-07T17:00:19Z
last_indexed 2025-12-07T17:00:19Z
_version_ 1850869619643908096

Similar Items