Classical versions of q-Gaussian processes: conditional moments and Bell's inequality

Abstract

We show that classical processes corresponding to operators what 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.

LaTeX, 12 pages. Corrected typos, marked at the beginning of the file

References in corpus (1)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

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