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Mathematische Grundlagen der Quantenmechanik.
Berlin, Springer, 1932. 8vo. Original publisher's full cloth. Owner's signature and small rubber stamp to front fly leaf. Otherwise unmarked. Some very light wear to top of spine. A fine, clean, and tight copy. (8),262,(2) pp.. First edition. In the early years of quantum mechanics several distinct formulations were developed; Heisenberg's matrix mechanics, Schrödinger's wave mechanics, and Dirac's more general transformation theory. However these theories lacked strict mathematical rigor (only much later through Schwartz's theory of distributions did Dirac's theory achieve this). Quantum mechanics is one of the fields of science which was fortunate to attract the attention of a mathematician of von Neumann's character. Von Neumann showed, in a paper published 1927, how generalized infinite-dimensional Euclidean spaces (function spaces) and linear operators provide the proper mathematical framework for quantum mechanics. Von Neumann was strongly influenced by Hilbert's program of axiomatizing the fields of science. The axiomatic approach which von Neumann takes in his theory has ever since dominated modern physics and functional analysis, and it was von Neumann who coined the term 'Hilbert space'. Von Neumann's work in this field culminated in this monograph which in addition to the earlier paper includes his important considerations, inspired by Bohr and Heisenberg, regarding the problem of measurement, in particular von Neumann's disproof of hidden variables
      [Bookseller: Lynge & Søn A/S]
Last Found On: 2013-02-03           Check availability:      Antikvariat    


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