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The Dirac particle, i.e. the dynamic system S_D, described by the free Dirac equation is investigated. Although the Dirac equation is written usually in the relativistically covariant form, the dynamic system S_D is not completely relativistic, because its description contains such absolute objects as $\gamma $-matrices $\gamma ^{k}$, forming a matrix vector. By means of the proper change of variables the $\gamma $-matrices are eliminated, but instead of them the constant timlike vector $f^{k}$ appears. The vector $f^{k}$ describes an absolute splitting of the space-time into space and time, which is characteristic for the nonrelativistic description. To investigate a degree of the violation of the S_D relativistic description, we consider the classical Dirac particle S_{Dcl}, obtained from S_D by means of the relativistic dynamic disquantization. The classical dynamic system S_{Dcl} appears to be composite, because it has ten degrees of freedom. Six translational degrees of freedom are described relativistically (without a reference to $f^{k}$), whereas four internal degrees of freedom are described nonrelativistically, because their description refers to $f^{k}$. Coupling the abs

Author

Rylov, Yuri A.

Published

2004

Language

EN