Analytical mechanics of a relativistic particle in a positional potential
Classical Physics
2012-10-10 v1
Abstract
We propose a form for the action of a relativistic particle subject to a positional force that is invariant under time reparametrization and therefore allows for a consistent Hamiltonian formulation of the dynamics. This approach can be useful in the study of phenomenological models. Also the Dirac and Klein-Gordon equation differ from the standard formulation, with corrections of order (E-m)/m in the energy spectra.
Keywords
Cite
@article{arxiv.1210.2707,
title = {Analytical mechanics of a relativistic particle in a positional potential},
author = {S. Mignemi},
journal= {arXiv preprint arXiv:1210.2707},
year = {2012}
}
Comments
8 pages, plain TeX