English

Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry

Classical Physics 2009-03-27 v2 Quantum Physics

Abstract

Taking into account the characteristics of a free scalar field in elliptic coordinates, a new dynamical variable is found for the free electromagnetic field. The conservation law associated to this variable cannot be obtained by direct application of standard Noether theorem since the symmetry generator is of second order. Consequences on the expected mechanical behavior of an atomic system interacting with electromagnetic waves exhibiting such a symmetry are also discussed.

Keywords

Cite

@article{arxiv.0807.0242,
  title  = {Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry},
  author = {B. M. Rodríguez-Lara and R. Jáuregui},
  journal= {arXiv preprint arXiv:0807.0242},
  year   = {2009}
}

Comments

17 pages, 5 figures, revised version, animated graphs provided at http://www.fisica.unam.mx/research/movies

R2 v1 2026-06-21T10:56:34.765Z