The many classical faces of quantum structures

Abstract

Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics. We survey this programme in terms of algebraic quantum theory.

24 pages

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Cited by in corpus (9)

• Understanding quantum mechanics: a review and synthesis in precise language
• Domains of commutative C*-subalgebras
• Bohrification: From classical concepts to commutative algebras
• Discretization of C*-algebras
• Discrete probabilistic and algebraic dynamics: a stochastic commutative Gelfand-Naimark Theorem
• The finite dual coalgebra as a quantization of the maximal spectrum
• On Defining AW*-algebras and Rickart C*-algebras
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