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Fuzzy σ algebras of physics

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Abstract

Following the idea of Zadeh, the concept of a statistical (or fuzzy)σ algebra is introduced. For two extreme cases of classical and quantum statisticalσ algebras the representation theorems are proved. The basic feature distinguishing these two cases is the possibility of producing nontrivial superpositions of pure quantum states, which is absent in the classical case.

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Authors and Affiliations

  1. Institute of Physics, University of Genoa, 1-16146, Genoa, Italy

    W. Guz

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  1. W. Guz
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Additional information

A part of this work has been written during the author's stay at the Mathematics Department, University of Toronto (Canada). The financial support from the NSERC research grant No. A5206 is gratefully acknowledged.

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

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Guz, W. Fuzzy σ algebras of physics. Int J Theor Phys 24, 481–493 (1985). https://doi.org/10.1007/BF00669908

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  • DOI: https://doi.org/10.1007/BF00669908

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