Is the Dirac particle completely relativistic?
| dc.creator | Rylov, Yuri A. | |
| dc.date | 2004-12-05 | |
| dc.date | 2004-12-13 | |
| dc.date.accessioned | 2026-07-07T05:53:38Z | |
| dc.date.available | 2026-07-07T05:53:38Z | |
| dc.description | 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 $γ$-matrices $γ^{k}$, forming a matrix vector. By means of the proper change of variables the $γ$-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 absolute vector $f^{k}$ with the energy-momentum vector of S_{Dcl}, the classical Dirac particle S_{Dcl} is modified minimally. The vector $f^{k}$ ceases to be absolute, and the modified classical Dirac particle S_{mDcl} becomes to be completely relativistic. The dynamic equations for S_{mDcl} are solved. Solutions for S_{Dcl} and S_{mDcl} are compared. | |
| dc.description | 25 pages, 0 figures. Correction of misprints | |
| dc.identifier | https://arxiv.org/abs/physics/0412032 | |
| dc.identifier | http://arxiv.org/abs/physics/0412032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/86715 | |
| dc.subject | General Physics | |
| dc.title | Is the Dirac particle completely relativistic? | |
| dc.type | text |