Fuzzy quantum logics as a basis for quantum probability theory
type: Item
instance of: scholarly article
title: Fuzzy quantum logics as a basis for quantum probability theory
zbMATH Open document ID: 0908.03057
DOI: 10.1023/A:1026618818509
author: Jarosław Pykacz
published in: International Journal of Theoretical Physics
publication date: 1999-03-07T00:00:00Z
review text: The author presents a representation of an abstract quantum logic with an ordering set \(S\) of states via fuzzy sets on \(S\) which are given by evaluational functionals. Such a representation of fuzzy sets is given by Łukasiewicz (or Giles) connectives. Some indications for building a phase-space representation of quantum mechanics free of the problem of negative probabilities are given.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 1196995
zbMATH Keywords: fuzzy quantum logic
zbMATH Keywords: quantum probability theory
zbMATH Keywords: state
zbMATH Keywords: ordering set of states
MaRDI profile type: Publication
full work available at URL: a:1026618818509
OpenAlex ID: W101883969
description: scientific article; zbMATH DE number 1196995