Bohm mechanics and Nelson stochastic mechanics are confronted with quantum mechanics in the\udpresence of noninteracting subsystems. In both cases, it is shown that correlations at different times of\udcompatible position observables on stationary states agree with quantum mechanics only in the case\udof product wave functions. By appropriate Bell-like inequalities it is shown that no classical theory,\udin particular no stochastic process, can reproduce the quantum mechanical correlations of position\udvariables of noninteracting systems at different times.
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