Longitudinal and transverse components of a vector field

Details Longitudinal and transverse components of a vector field Longitudinal and transverse components of a vector field

2008-01-02

arxiv.org/abs/0801.0335v4

Sri Lanka Journal of Physics 12, 3-42 (2011)

Physics

Classical Physics

9 pages pdf format. Includes derivation and extension of the Frahm relation. To be published in Sri Lankan Journal of Physics

Scientific paper

10.4038/sljp.v12i0.3504

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.

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