Electromagnetic analog of Rashba spin-orbit interaction in wave guides filled with ferrite

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We consider infinitely long electromagnetic wave guide filled with a ferrite. The wave guide has arbitrary but constant cross-section $. We show that Maxwell equations are equivalent to the Schrödinger equation for single electron in the two-dimensional quantum dot of the form D with account of the Rashba spin-orbit interaction. The spin-orbit constant is determining by components of magnetic permeability of the ferrite. The upper component of electron spinor function corresponds to the z-th component electric field, while the down component $χ$ related to the z-th component of magnetic field by relation (30).
6 pages, 1 figure

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