Generalized Lagrangians and spinning particles
Classical Physics
2007-05-23 v1 General Physics
Abstract
The use of generalized Lagrangians for describing elementary particles was already claimed by Ostrogradskii. It is shown how the spin structure of elementary particles arises if one allows the Lagrangian to depend on higher order derivatives. One part is related to the rotation of the particle and the other, which is coming from the dependence of the Lagrangian on the acceleration, is known as the zitterbewegung part of spin.
Cite
@article{arxiv.physics/0106023,
title = {Generalized Lagrangians and spinning particles},
author = {Martin Rivas},
journal= {arXiv preprint arXiv:physics/0106023},
year = {2007}
}
Comments
Contribution to special issue in the 200th Ostrogradskii anniversary by the Journal of Ukrainian Mathematical Society