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.