Formal analysis of the state of an object after measuring its coordinate shows that the conditional variance of the momentum may depend on the result of coordinate measurement and be smaller than the momentum variance in the initial state even if there is no correlation between the momentum and the momentum squared with the coordinate. This fact cannot be interpreted on the basis of ordinary statistics, exemplifying still another nonclassical consequence of the quantum theory.
Department of Molecular Physics and Physical Measurements, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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