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Stochastic phase spaces, fuzzy sets, and statistical metric spaces

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Abstract

This paper is devoted to the study of the notion of the phase-space representation of quantum theory in both the nonrelativisitic and the relativisitic cases. Then, as a derived concept, the stochastic phase space is introduced and its connections with fuzzy set theory and probabilistic topological (in particular, metric) spaces are discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    W. Guz

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  1. W. Guz
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Additional information

Supported by NSERC Grant No. A5206.

On leave of absence from the Theoretical Physics Institute, University of Gdańsk, 80-952 Gdańsk, Poland.

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Guz, W. Stochastic phase spaces, fuzzy sets, and statistical metric spaces. Found Phys 14, 821–848 (1984). https://doi.org/10.1007/BF00737552

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  • DOI: https://doi.org/10.1007/BF00737552

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