Hidden momentum and the Abraham-Minkowski debate.
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2017
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We use an extended version of electrodynamics, which admits the existence of magnetic charges and currents,
to discuss how different models for electric and magnetic dipoles do or do not carry hidden momentum under
the influence of external electromagnetic fields. Based on that, we discuss how the models adopted for the
electric and magnetic dipoles from the particles that compose a material medium influence the expression for
the electromagnetic part of the light momentum in the medium.We show that Abraham expression is compatible
with electric dipoles formed by electric charges and magnetic dipoles formed by magnetic charges, while
Minkowski expression is compatible with electric dipoles formed by magnetic currents and magnetic dipoles
formed by electric currents. The expression ε0E × B, on the other hand, is shown to be compatible with electric
dipoles formed by electric charges and magnetic dipoles formed by electric currents, which are much more
natural models. So this expression has an interesting interpretation in the Abraham-Minkowski debate about the
momentum of light in a medium: It is the expression compatible with the nonexistence of magnetic charges. We
also provide a simple justification of why Abraham and Minkowski momenta can be associated with the kinetic
and canonical momentum of light, respectively.
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SALDANHA, P. L.; OLIVEIRA FILHO, J. S. de. Hidden momentum and the Abraham-Minkowski debate. Physical Review A, v. 95, p. 043804, nov./abr. 2017. Disponível em: <https://journals.aps.org/pra/pdf/10.1103/PhysRevA.95.043804>. Acesso em: 15 fev. 2019.