Specification of statistical description in quantum mechanics

Yuri A.Rylov

Institute for Problems in Mechanics, Russian Academy of Sciences,
101, bild.1 Vernadskii Ave., Moscow, 117526, Russia.
e-mail: rylov@ipmnet.ru}

December 1,  2001

It is shown that the statistical conception of quantum mechanics is dynamical but not probabilistic, i.e. the statistical description in quantum mechanics is founded on dynamics. A use of the probability theory, when it takes place, is auxiliary. Attention is drawn to the fact that in the quantum mechanics there are two different objects: an individual object to be statistically described and a statistical average object, which is a result of the statistical description. Identification of the two different objects (a use of the same term for both) is an origin of many known quantum mechanics paradoxes.

English and Russsian versions of the paper in Postscript