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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
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
Citation:
Richard V. Kadison, Zhe Liu, “The Heisenberg Relation — Mathematical Formulations”, SIGMA, 10 (2014), 009, 40 pp.
Linking options:
https://www.mathnet.ru/eng/sigma874 https://www.mathnet.ru/eng/sigma/v10/p9
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