Modalities and quantum mechanics
type: Item
instance of: scholarly article
title: Modalities and quantum mechanics
zbMATH Open document ID: 0567.03031
DOI: 10.1007/BF02213426
author: F. J. Burghardt
published in: International Journal of Theoretical Physics
publication date: 1984-01-01T00:00:00Z
review text: Three approaches concerning the use of modalities in the language of quantum mechanics were considered: Mittelstaedt and the author built up a dialogic semantics for modalities on a metalinguistic level, and a calculus of quantum modal logic is known that is complete and sound with respect to this dialogic semantics. Van Fraassen replaced the usual interpretation of quantum mechanics (with the projection postulate) by his 'modal interpretation' based on a modal object language. Dalla Chiara translated a nonmodal object language for quantum mechanics and the appropriate quantum logic into a modal language. Specifically the author is interested in the similarities and the difference of these three approaches.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 03B45
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 3904587
zbMATH Keywords: dialogic semantics
zbMATH Keywords: quantum modal logic
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3904587