{"product_id":"the-logic-of-quantum-mechanics-volume-15-paperback-9780521168496","title":"The Logic of Quantum Mechanics: Volume 15 (Paperback) 9780521168496","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Logic of Quantum Mechanics: Volume 15\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eEnrico G. Beltrametti (Author), Gianni Cassinelli (Author), Gian-Carlo Rota (Edited by), Peter A. Carruthers (Foreword by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521168496, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 9 December 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e23.4 x 15.6 x 1.8 cm, 0.47 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview 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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eOriginally 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eEditor's statement\u003cbr\u003e Foreword\u003cbr\u003e Preface\u003cbr\u003e Part I. Hilbert-Space Quantum Mechanics\u003cbr\u003e 1. Static description of quantum mechanics\u003cbr\u003e 2. States\u003cbr\u003e 3. Physical quantities\u003cbr\u003e 4. Spin and motion\u003cbr\u003e 5. Superselection rules\u003cbr\u003e 6. Dynamical evolution\u003cbr\u003e 7. Compound systems\u003cbr\u003e 8. Elementary analysis of the measurement process\u003cbr\u003e 9. Mathematical structures emerging from the Hilbert-Space formulation of Quantum mechanics\u003cbr\u003e Part II. Basic Structures in the Description of Quantum Mechanics\u003cbr\u003e 10. The typical mathematical structure of propositions: orthomodular AC lattices\u003cbr\u003e 11. Probability measures on orthomodular posets and lattices\u003cbr\u003e 12. Characterization of commutativity\u003cbr\u003e 13. States and propositions of a physical system\u003cbr\u003e 14. Quantum-mechanical features in terms of the logic of the physical system\u003cbr\u003e 15. On the hidden-variable issue\u003cbr\u003e 16. Proposition-state structure and idealized measurements\u003cbr\u003e 17. Superpositions of states and closure spaces\u003cbr\u003e 18. Transition-probability spaces and quantum systems\u003cbr\u003e 19. On the convex-set approach\u003cbr\u003e 20. Introduction to a quantum logic\u003cbr\u003e Part III. Reconstruction of Hilbert-Space Quantum Mechanics\u003cbr\u003e 21. The coordinatization problem\u003cbr\u003e 22. Use of real and quaternionic Hibert Spaces: a simple example\u003cbr\u003e 23. Dynamics\u003cbr\u003e 24. Composition of physical systems\u003cbr\u003e 25. Hidden-variable theories and Gleason's Theorem\u003cbr\u003e 26. Introduction to quantum probability theory\u003cbr\u003e Appendices\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006139683096,"sku":"9780521168496","price":54.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521168496i_18f15558-ea16-4d5c-869e-5866789d0de4.jpg?v=1691372863","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-logic-of-quantum-mechanics-volume-15-paperback-9780521168496","provider":"Freshly Printed Books","version":"1.0","type":"link"}