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Probability Measures on Fuzzy Events in Phase Space

Authors
  • Prugovecki, E.
Publication Date
Jan 01, 1976
Identifiers
DOI: 10.1063/1.522936
OAI: oai:inspirehep.net:113821
Source
INSPIRE-HEP
Keywords
License
Unknown
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Abstract

The notion of fuzzy sample point is introduced, and generalized probability measures on fuzzy events are defined. This leads to the concept of spectral measure on fuzzy events. It is shown that such measures can be associated with quantum‐mechanical states when the fuzzy elementary events are represented by Gaussian distributions on phase space.

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