Third-order relativistic dynamics: classical spinning particle travelling in a plane
Mathematical Physics
2013-04-30 v1 Differential Geometry
math.MP
Abstract
Mathisson's 'new mechanics' of a relativistic spinning particle is shown to follow, in the case of planar motion, from only general requirements of relativistic invariance and of the dependence on third order derivatives along with the 'variationality' feature. The Hamiltonian counterpart ultimately recovers the Dixon system of equations for this case with the Mathisson-Pirani supplementary condition.
Keywords
Cite
@article{arxiv.1304.7494,
title = {Third-order relativistic dynamics: classical spinning particle travelling in a plane},
author = {Roman Matsyuk},
journal= {arXiv preprint arXiv:1304.7494},
year = {2013}
}
Comments
10 pages. Minor misprints corrected. http://www.icmp.lviv.ua/journal/zbirnyk.15/004/art04.pdf