Abstract
Let us consider an everywhere differentiable vector field \(\vec{W}(r)\)which vanishes at infinity. For such a vector field we shall sketch the prove of Helmholtz theorem, viz., that \(\vec{W}(r)\)may be resolved uniquely into two parts, one of which is irrotational, the other solenoidal [275, 276].
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© 2011 Springer-Verlag Berlin Heidelberg
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Keller, O. (2011). Transverse and Longitudinal Electrodynamics. In: Quantum Theory of Near-Field Electrodynamics. Nano-Optics and Nanophotonics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17410-0_9
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DOI: https://doi.org/10.1007/978-3-642-17410-0_9
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