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Author:   Enrico G. Beltrametti (University of Genoa) ,  Gianni Cassinelli ,  Gian-Carlo Rota ,  Peter A. Carruthers (Los Alamos National Laboratory)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   15
ISBN:  

9781107340725

ISBN 10:   1107340721
Publication Date:   05 June 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Editor's statement; Foreword; Preface; Part I. Hilbert-Space Quantum Mechanics; 1. Static description of quantum mechanics; 2. States; 3. Physical quantities; 4. Spin and motion; 5. Superselection rules; 6. Dynamical evolution; 7. Compound systems; 8. Elementary analysis of the measurement process; 9. Mathematical structures emerging from the Hilbert-Space formulation of Quantum mechanics; Part II. Basic Structures in the Description of Quantum Mechanics; 10. The typical mathematical structure of propositions: orthomodular AC lattices; 11. Probability measures on orthomodular posets and lattices; 12. Characterization of commutativity; 13. States and propositions of a physical system; 14. Quantum-mechanical features in terms of the logic of the physical system; 15. On the hidden-variable issue; 16. Proposition-state structure and idealized measurements; 17. Superpositions of states and closure spaces; 18. Transition-probability spaces and quantum systems; 19. On the convex-set approach; 20. Introduction to a quantum logic; Part III. Reconstruction of Hilbert-Space Quantum Mechanics; 21. The coordinatization problem; 22. Use of real and quaternionic Hibert Spaces: a simple example; 23. Dynamics; 24. Composition of physical systems; 25. Hidden-variable theories and Gleason's Theorem; 26. Introduction to quantum probability theory; Appendices; Subject index.

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'. Choice

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