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.
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