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Propositional Quantum Mechanics

2015/05/23 by M. J. Cavagnero, Michael J. Cavagnero, Cavagnero, Michael J.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.1505.06328

This paper has been withdrawn by the author, who has become aware of other relevant work, and is accordingly re-evaluating the content

openalex publication_date 2015/05/23 · arxiv created 2015/06/03 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum mechanics is reformulated using Hartle's definition of the state of an individual physical system and a variant of von Neumann's propositional calculus. An elementary set of quantum postulates lead inductively to the familiar formulas of quantum theory, including the canonical commutation relation and Schrödinger's equation. The expected value of the frequency of events for an ideal ensemble is equal to the expected value of a state operator for an individual system, producing a binomial probability distribution for the determination of indefinite experimental propositions.

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