The Logic of Quantum Mechanics: Volume 15 - Enrico G. Beltrametti, Gianni Cassinelli

The Logic of Quantum Mechanics: Volume 15

Buch | Softcover
336 Seiten
2010
Cambridge University Press (Verlag)
978-0-521-16849-6 (ISBN)
69,95 inkl. MwSt
Originally published in 1981, this book forms volume 15 of the Encyclopedia of Mathematics and its Applications. The text provides a clean exposition of the mathematical content of serious formulations of rational physical alternatives of quantum theory, to which the authors made a significant contribution.
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.

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.

Erscheint lt. Verlag 9.12.2010
Reihe/Serie Encyclopedia of Mathematics and its Applications
Vorwort Peter A. Carruthers
Verlagsort Cambridge
Sprache englisch
Maße 156 x 234 mm
Gewicht 470 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Quantenphysik
ISBN-10 0-521-16849-X / 052116849X
ISBN-13 978-0-521-16849-6 / 9780521168496
Zustand Neuware
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