Abstract

The statistical interpretation of quantum mechanics is based on Einstein's idea that a state function does not represent an individual system but describes an ensemble of similarly prepared systems. It has been believed that the statistical interpretation is inconsistent with the NO-GO theorems. However, as shown in the present paper, the statistical interpretation is consistent with the theorems, when we change the concept of momentum, energy, and spin. We discuss whether it is possible or impossible to regard momentum, energy, and spin as characteristics of statistical ensembles of similarly prepared systems.