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Papoulis, A. and Pillai, S.U. (2002) Probability, Random Variables, and Stochastic Processes. McGraw-Hill Companies, Inc., New York, Chap. 9.

has been cited by the following article:

• TITLE: The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation

  AUTHORS: Louis Sica

  KEYWORDS: Bell’s Theorem, Bell Inequality, Hidden Variables, Correlations, Commutation, Noncommutation

  JOURNAL NAME: Journal of Modern Physics, Vol.7 No.4, February 29, 2016

  ABSTRACT: In constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting operations while for non-commuting operations data are conditional on prior outcomes, or may be predicted as alternative outcomes of the non-commuting operations. Given these qualitative differences, there is no reason why correlation functions among non-commuting variables should be the same as those among commuting variables, as assumed by Bell. When data for commuting and noncommuting operations are predicted from quantum mechanics, their correlations are different, and they now satisfy the Bell inequality.