The bell inequalities

It is shown that the Bell inequalities are conditions that must be satisfied by the probability functions of certain three-variable systems if they are to be expressible in terms of a single, nonnegative function. The generalized Bell inequalities, or CHSH inequalities, play a similar role for four-variable systems. The physical significance of the results is discussed.

[1]  E. Specker,et al.  The Problem of Hidden Variables in Quantum Mechanics , 1967 .

[2]  A. Fine.  Hidden Variables, Joint Probability, and the Bell Inequalities , 1982 .

[3]  A. Shimony,et al.  Bell's theorem. Experimental tests and implications , 1978 .

[4]  P. Rastall.  Quantum mechanics, locality and completeness , 1981 .

[5]  Jeffrey Bub,et al.  A Proposed Solution of the Measurement Problem in Quantum Mechanics by a Hidden Variable Theory , 1966 .

[6]  Max Jammer,et al.  The philosophy of quantum mechanics : the interpretations of quantum mechanics in historical perspective , 1974 .

[7]  M. Froissart.  Constructive generalization of Bell’s inequalities , 1981 .

[8]  P. H. Eberhard,et al.  Bell's theorem without hidden variables , 1977 .

[9]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[10]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[11]  P. Rastall.  The Bell inequalities and nonlocality , 1982 .

[12]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[13]  P. Grangier,et al.  Experimental Tests of Realistic Local Theories via Bell's Theorem , 1981 .

[14]  D. Griffiths,et al.  Introduction to Quantum Mechanics , 1960 .

[15]  L. Ballentine,et al.  A Survey of Hidden‐Variables Theories , 1974 .

[16]  P. Rastall.  The meaning of the bell inequalities , 1981 .

[17]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[18]  R. Mattuck.  Non-locality in Bohm-Bub's hidden variable theory of the Einstein-Podolsky-Rosen paradox , 1981 .