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arxiv: 1401.6507 · v1 · pith:HJ2O6IWDnew · submitted 2014-01-25 · 🧮 math.OA · math-ph· math.MP· quant-ph

The Heisenberg Relation - Mathematical Formulations

classification 🧮 math.OA math-phmath.MPquant-ph
keywords heisenbergmathematicalrelationaffiliatedalgebradimensiondiscussedexamine
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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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