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The Logic of Quantum Mechanics
Abstract
Originally published in 1981, this book forms volume 15 of the Encyclopedia of Mathematics and its Applications. The text provides a clear and thorough treatment of its subject, adhering to a clean exposition of the mathematical content of serious formulations of rational physical alternatives of quantum theory as elaborated in the influential works of the period, to which the authors made a significant contribution. The treatment falls into three distinct, logical parts: in the first part, the modern version of accumulated wisdom is presented, avoiding as far as possible the traditional language of classical physics for its interpretational character; in the second part, the individual structural elements for the logical content of the theory are laid out; in part three, the results of section two are used to reconstruct the usual Hilbert space formulation of quantum mechanics in a novel way.
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Citations
Cited by
Rovelli, C. (1996) · International Journal of Theoretical Physics · doi:10.1007/bf02302261 · Cited by 1,381
Humphreys, P. (1997) · Philosophy of Science · doi:10.1086/392533 · Cited by 340
A classical extension of quantum mechanics
Beltrametti, E. G., & Bugajski, S. (1995) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/28/12/007 · Cited by 134
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Metadata
- Authors
- Beltrametti, E. G., Cassinelli, G., & Carruthers, P. A.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1984-12-28
- OpenAlex
- W1967479370
- Cited by
- 582
- References
- 0
- FWCI
- 2.57
- Type
- book
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Logic of Quantum Mechanics. https://app.cochat.ai/papers/10.1017/cbo9781107340725
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- Beltrametti, E. G., Cassinelli, G., & Carruthers, P. A. (1984). The Logic of Quantum Mechanics. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9781107340725
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
