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Attempt of an axiomatic foundation of quantum mechanics and more general theories V

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Abstract

We continue here the series of papers treated byLudwig in [1–5]. Using some results ofDähn in [6], we point out that each irreducible solution of the axiomatic scheme set up in [5] is represented by a system of positive-semi-definite operator pairs of a finite-dimensional Hilbert-space over the real, complex or quaternionic numbers.

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Authors and Affiliations

  1. Institut für theoretische Physik (I) der Universität Marburg, Germany

    Peter Stolz

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  1. Peter Stolz
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This paper is an abridged version of the author's thesis presented to the Marburg University and written under the direction of Prof.G. Ludwig.

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Stolz, P. Attempt of an axiomatic foundation of quantum mechanics and more general theories V. Commun.Math. Phys. 11, 303–313 (1969). https://doi.org/10.1007/BF01645851

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