The Heisenberg Relation - Mathematical Formulations

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).

Cited by in corpus (7)

• Continuous perturbations of noncommutative Euclidean spaces and tori
• Group von Neumann algebras, inner amenability, and unit groups of continuous rings
• Matrix algebras over algebras of unbounded operators
• Deformations of the Canonical Commutation Relations and Metric Structures
• Algebraic aspects and functoriality of the set of affiliated operators
• A note on commutation relations and finite dimensional approximations
• On Murray-von Neumann algebras -- I: Topological, Order-Theoretic and Analytical Aspects