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Stochastic phase spaces, fuzzy sets, and statistical metric spaces
Foundations of Physics 14 (9):821-848 (1984)
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 discussedMy notes
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Citations of this work
The stochastic quantum mechanics approach to the unification of relativity and quantum theory.E. Prugovečki - 1984 - Foundations of Physics 14 (12):1147-1162.
On the nonclassical character of the phase-space representations of quantum mechanics.W. Guz - 1985 - Foundations of Physics 15 (2):121-128.
References found in this work
The transitions among classical mechanics, quantum mechanics, and stochastic quantum mechanics.Franklin E. Schroeck - 1982 - Foundations of Physics 12 (9):825-841.
A self-consistent approach to quantum field theory for extended particles.Eduard Prugovečki - 1981 - Foundations of Physics 11 (5-6):355-382.
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