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Attempt of an axiomatic foundation of quantum mechanics and more general theories. IV

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Abstract

This contribution continues the series of papers on the same subject which has been treated byLudwig in [1–3]. Using the system of axioms as given in [3], we shall succeed in constructing an orthomodular lattice of linear operators on the real vector space generated by the physical decision effects. There results an isomorphism between the orthomodular lattice of all physical decision effects and the lattice to be constructed.

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Authors and Affiliations

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

    Günter Dähn

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  1. Günter Dähn
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This paper is a modified version of the author's thesis „Zur Koordinatisierung des orthomodularen Verbandes physikalischer Entscheidungseffekte“, written at Marburg University under the direction of Prof.G. Ludwig. It was supported in part by the Deutsche Forschungsgemeinschaft.

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Dähn, G. Attempt of an axiomatic foundation of quantum mechanics and more general theories. IV. Commun.Math. Phys. 9, 192–211 (1968). https://doi.org/10.1007/BF01645686

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