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

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

2000-09-02

arxiv.org/abs/math/0009023v2

Comm. Math. Phys., 219 (2001), pp. 259-270

Mathematics

Quantum Algebra

LaTeX, 12 pages. Minor corrections (marked at the begining of the file) after print version

Scientific paper

10.1007/s002200100401

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

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