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arxiv: 0801.0335 · v5 · pith:RAOBOM6Znew · submitted 2008-01-02 · ⚛️ physics.class-ph · physics.gen-ph

Longitudinal and transverse components of a vector field

classification ⚛️ physics.class-ph physics.gen-ph
keywords longitudinaltransversecomponentsfieldfieldsaccountapplicableargued
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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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