About a Generalization of Bell's Inequality |
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Authors: | V M González-Robles |
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Institution: | (1) Escuela de Física, Universidad Antónoma de Zacatecas, Apartado Postal C-580, Zacatecas, 98068 Zacatecas, México |
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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 . Violation occurs for in some interval of the form ( , /2) where parameter becomes closer and closer to /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. |
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Keywords: | Bell's inequality quantum nonlocality quantum entanglement |
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