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  3. The Logic of Quantum Mechanics
  • Cited by 17
Publisher:
Cambridge University Press
Online publication date:
June 2013
Print publication year:
1984
Online ISBN:
9781107340725
DOI:
https://doi.org/10.1017/CBO9781107340725
Subjects:
Mathematics (general), Mathematics, Physics and Astronomy, Logic, Categories and Sets, History, Philosophy and Foundations of Physics
Series:
Encyclopedia of Mathematics and its Applications (15)
Information

Book description

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.

Reviews

Review of the hardback:‘ … this elegant and very sophisticated work is directed to those mathematicians and theoretical physicists with special interest in the logical consistency and mathematical content of the physical principles of quantum mechanics … It is well-referenced, and the reader who perseveres in studying the book will be amply rewarded’.

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