Maxwell’s equations for free fields are studied on the underlying C∞ manifold of a compact Lie group. The formulation is in terms of exterior differential forms as given by Wheeler. It is found that on a compact connected Lie group there are no free electromagnetic fields. The results obtained are essentially a physical interpretation of the well‐known theorem that the second Betti number of a compact semisimple Lie group is zero.
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Research Article| August 26 2008
Free electromagnetic fields on a compact Lie group manifold
J. Math. Phys. 18, 662–663 (1977)
Leighton L. Henry; Free electromagnetic fields on a compact Lie group manifold. J. Math. Phys. 1 April 1977; 18 (4): 662–663. https://doi.org/10.1063/1.523323
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