The Logic of Quantum Mechanics Volume 15 [Paperback]

This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.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 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 lƒÁ