Open AccessANALOGUE OF THE ABRAHAM–MINKOWSKI CONTROVERSY IN ELECTRONIC OPTICS
Author(s) -
Karen K. Grigoryan
Publication year - 2021
Publication title -
proceedings of the ysu a: physical and mathematical sciences/proceedings of the yerevan state university. physical and mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2953-7975
pISSN - 1829-1740
DOI - 10.46991/pysu:a/2021.55.3.169
Subject(s) - minkowski space , refractive index , physics , diffraction , optics , electron , field (mathematics) , quantum mechanics , mathematical physics , mathematics , pure mathematics
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.