Longitudinal and transverse components of a vector field
Classical Physics
2014-11-11 v5 General Physics
Abstract
A unified account, from a pedagogical perspective, is given of the longitudinal and transverse projective delta functions proposed by Belinfante and of their relation to the Helmholtz theorem for the decomposition of a three-vector field into its longitudinal and transverse components. It is argued that the results are applicable to fields that are time-dependent as well as fields that are time-independent.
Cite
@article{arxiv.0801.0335,
title = {Longitudinal and transverse components of a vector field},
author = {A. M. Stewart},
journal= {arXiv preprint arXiv:0801.0335},
year = {2014}
}
Comments
9 pages pdf format. Includes derivation and extension of the Frahm relation and volume integrals of projectors