Abstract:
We show that classical processes corresponding to operators which satisfy a q-commutative relation have linear regressions and quadratic conditional variances. From this we deduce that Bell's inequality for their covariances can be extended from q=−1 to the entire range −1≤q < 1.
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Received: 18 September 2000 / Accepted: 17 November 2000
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Bryc, W. Classical Versions of q-Gaussian Processes:¶Conditional Moments and Bell's Inequality. Commun. Math. Phys. 219, 259–270 (2001). https://doi.org/10.1007/s002200100401
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DOI: https://doi.org/10.1007/s002200100401