### Statistical Ensemble Technique in Application to Description
of the Electron

Yuri A. Rylov

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

#### Abstract

A dynamic systems SP and SD described by the Pauli equation and the
Dirac equation are investigated merely as a distributed dynamic systems.
No quantum principles are used. The system SP is shown to be a statistical
ensemble of non-relativistic stochastic pointlike particles. The electron
spin is shown to have a classical analog which is a collective (statistical)
property of the ensemble (not a property of a single electron). Magnetic
moment of the electron is a quantum property which has no classical analog.
The magnetic moment is parallel to the spin only in the stationary state.
In the arbitrary state the magnetic moment is not connected with the spin
direction. The dynamic system SD described by the Dirac equation is shown
to be non-relativistic, because after transforming to hydrodynamic variables
and eliminating gamma-matrices, a constant timelike vector **f **appears.
This vector describes a split of the space-time into space and time.

(There is the paper in the form of a
postscript file)