The Logic Of Quantum Mechanics: Volume 15 (encyclopedia Of Mathematics And Its Applications)

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. This 1979 book shows how differential equation theory can be beautifully simplified by treating such equations from the product integral viewpoint. The first chapter, dealing with linear ordinary differential equations, is accessible to anyone with a knowledge of matrix theory and elementary calculus. Later chapters assume a more sophisticated reader. Enrico G. Beltrametti And Gianni Cassinelli ; Foreword By Peter A. Carruthers. Includes Bibliograhical References And Index. This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way