Incompatibility of the Copenhagen interpretation with quantum formalism and its reasons

It is proved the mathematical theorem, that the wave function describes the statistical ensemble of particles, but not a single particle. Supposition, that the wave function describes a single particle appears to be incompatible with formalism of quantum mechanics. One discusses the reasons, why this very simple statement has not been proved mathematically for many years. The reason lies in application of the trial and error methods for construction of the quantum mechanics. Application of this method as the main tool of investigation during eighty years generated ”fitting mentality” of all microwold researchers. In this paper we prove a very important theorem, which claims that the wave function may not describe an individual quantum particle. It describes always a statistical ensemble of quantum particles. We shall show, that the action AS for the Schrödinger particle SS (the dynamic system described by the Schrödinger equation) turns into the action AE[Scl] for the statistical ensemble E [Scl] of free classical particles Scl, when the quantum constant ~ → 0. Such a transition is possible only in the case, when the wave function ψ describes a statistical ensemble of quantum particles, but not a single particle. For the free Schrödinger particle SS the action has the form SS : AS [ψ, ψ ] = ∫ { i~ 2 (ψ∗∂0ψ − ∂0ψ ∗ · ψ)− ~ 2