Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8201982 | Annals of Physics | 2015 | 10 Pages |
Abstract
We present two types of relativistic Lagrangians for the Lorentz-Dirac equation written in terms of an arbitrary world-line parameter. One of the Lagrangians contains an exponential damping function of the proper time and explicitly depends on the world-line parameter. Another Lagrangian includes additional cross-terms consisting of auxiliary dynamical variables and does not depend explicitly on the world-line parameter. We demonstrate that both the Lagrangians actually yield the Lorentz-Dirac equation with a source-like term.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Shinichi Deguchi, Kunihiko Nakano, Takafumi Suzuki,