Abstract.
The wave equation for light propagation in slowly moving media, which is analogous to that of quantum effects of the Aharonov-Bohm type, is characterized by the interaction momentum \({\bf Q}\), related to the flow \( {\bf u}\). In effects of the Aharonov-Bohm type the interaction momentum \( {\bf Q}\) is related to the momentum of the electromagnetic (em) fields, that characterizes an em flow \({\bf u}\). It is shown that in both cases \({\bf Q}\) has the same physical origin. Calculation of the interaction em momentum \( {\bf Q}\) for the light wave dragged by the flow yields exactly the Fresnel-Fizeau momentum. These results corroborate the validity of the magnetic model for light and highlight the role and relevance of the em momentum in new effects of classical and quantum physics. A tentative test of an astrophysical Fizeau-Aharonov-Bohm effect is discussed.
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Curiosly, in the AC effect the interaction energy \({\bf v\cdot Q}=c^{-1}{\bf v\cdot m\times E}\) , when \({\bf m}\) represents the magnetic moment of the electron, coincides with the spin-orbit interaction term of atomic physics, i.e. the spin orbit term is given by the interaction energy associated with the em momentum \({\bf Q}\)
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Spavieri, G. Electromagnetic momentum, magnetic model of light and effects of the Aharonov-Bohm type. Eur. Phys. J. D 39, 157–166 (2006). https://doi.org/10.1140/epjd/e2006-00089-y
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DOI: https://doi.org/10.1140/epjd/e2006-00089-y