The Logic of Quantum Mechanics

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.