Geodesic
Analogue of the Abraham–Minkowski controversy in electronic optics
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 3, pp. 169-173

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In the problem of electron diffraction by a standing light wave (the Kapitza–Dirac effect), an electronic refractive index can be defined as the ratio of electron momenta in the wave field and outside it. Moreover, both kinetic and canonical electron momenta can be used for this purpose, which corresponds to the Abraham–Minkowski controversy in photonic optics. It is shown that in both cases the same expression for the electronic refractive index is obtained. This is consistent with Barnett's resolution of the Abraham–Minkowski dilemma.
Keywords: Kapitza–Dirac effect, electron optics, Abraham–Minkowski dilemma, Barnett’s resolution. 
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K. K. Grigoryan. Analogue of the Abraham–Minkowski controversy in electronic optics. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 3, pp. 169-173. http://geodesic.mathdoc.fr/item/UZERU_2021_55_3_a2/