Published September 2015 | Version v1
Journal article Metadata-only

Relativistic Lagrangians for the Lorentz–Dirac equation

Creators

  • 1. Institute of Quantum Science, College of Science and Technology, Nihon University, Chiyoda-ku, Tokyo 101-8308 (Japan)
  • 2. Junior College Funabashi Campus, Nihon University, Narashinodai, Funabashi, Chiba 274-8501 (Japan)

Description

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

Availability note (English)

Available from http://dx.doi.org/10.1016/j.aop.2015.05.023

Additional details

Identifiers

DOI
10.1016/j.aop.2015.05.023;
PII
S0003-4916(15)00215-8;

Publishing Information

Journal Title
Annals of Physics (New York)
Journal Volume
360
Journal Page Range
p. 539-548
ISSN
0003-4916
CODEN
APNYA6

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47020763
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHARGED PARTICLES; LAGRANGIAN FUNCTION; RELATIVISTIC RANGE
Descriptors DEC
ENERGY RANGE; FUNCTIONS

Optional Information

Copyright
Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.