Relativistic Lagrangians for the Lorentz–Dirac equation
Journal Article
·
· Annals of Physics
- Institute of Quantum Science, College of Science and Technology, Nihon University, Chiyoda-ku, Tokyo 101-8308 (Japan)
- Junior College Funabashi Campus, Nihon University, Narashinodai, Funabashi, Chiba 274-8501 (Japan)
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.
- OSTI ID:
- 22451221
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 360; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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