Bell's inequality for a single spin 1/2 particle and quantum contextuality
arXiv:quant-ph/9907030 · doi:10.1016/S0375-9601(00)00747-7
Abstract
We argue that for a \emph{single particle} Bell's inequality is a consequence of noncontextuality and is \emph{incompatible} with statistical predictions of quantum mechanics. Thus noncontextual models can be empirically falsified, \emph{independent} of locality condition. For this an appropriate entanglement between \emph{disjoint} Hilbert spaces pertaining to translational and spin degrees of freedom of a single spin-1/2 particle is invoked
Latex, 7 pages, 2 Figs. published version with a note added to the proof
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