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Dynamical methods of investigation in application to the Dirac

particle

#### Yuri A. Rylov

*Institute for Problems in Mechanics, Russian
Academy of Sciences*

* 101-1 ,Vernadskii Ave., Moscow, 119526, Russia*

* email: rylov@ipmnet.ru*

Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm

or mirror Web site: http://gas-dyn.ipmnet.ru/~rylov/yrylov.htm

Updated July 21, 2006

#### abstract

The Dirac particle S_D is investigated by means of dynamic methods,
i.e. without a use of the principles of quantum mechanics. It is shown that the
Pauli particle S_P and the nonrelativistic
approximation S_nD of the Dirac particle S_D are different dynamic systems. S_D contains the high frequency degrees of
freedom, which are absent in the dynamic system S_P. It means that the nonrelativistic Dirac particle S_nD is composite (i.e. it has internal degrees of
freedom), whereas the Pauli particle S_P is a pointlike particle with the
spin. In the absence of the electromagnetic field the world line of the classical
Pauli particle S_Pcl is a timelike straight,
whereas that of the classical nonrelativistic Dirac particle S_nDcl is a helix. The characteristic frequency
\Omega =2mc^{2}/\hbar $ of this

helix is the threshold frequency of the pair production. Using dynamic methods,
one shows freely that the Copenhagen interpretation, when the wave
function is a specific quantum object describing the state of individual
particle, is incompatible with the quantum mechanics formalism. Besides, it is
shown that the momentum distribution in quantum mechanics is in reality the
mean momentum distribution. Effectiveness of different investigation

strategies is discussed and compared.

There is
text of the paper in English and in Russian,

An attempt of this paper
submission to a scientific journal was failed, because of two negative
referee’s reports. Objections of the referee and author’s
comments to them are rather curious. This discussion shows, how difficult to
overcome preconceptions and mistakes made by our predecessors. The comments
(in English) are presented.