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About a Generalization of Bell's Inequality
Authors:V M González-Robles
Institution:(1) Escuela de Física, Universidad Antónoma de Zacatecas, Apartado Postal C-580, Zacatecas, 98068 Zacatecas, México
Abstract:We make use of natural induction to propose, following John Ju Sakurai, a generalization of Bell's inequality for two spin s=n/2(n=1,2,...) particle systems in a singlet state. We have found that for any finite integer or half-integer spin Bell's inequality is violated when the terms in the inequality are calculated from a quantum mechanical point of view. In the final expression for this inequality the two members therein are expressed in terms of a single parameter theta. Violation occurs for theta in some interval of the form (agr,pgr/2) where agr parameter becomes closer and closer to pgr/2, as the spin grows, that is, the greater the spin number the size of the interval in which violation occurs diminishes to zero. Bell's inequality is a relationship among observables that discriminates between Einstein's locality principle and the non-local point of view of orthodox quantum mechanics. So our conclusion may also be stated by saying that for large spin numbers the non-local and local points of view agree.
Keywords:Bell's inequality  quantum nonlocality  quantum entanglement
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