On Lorentz and Einstein-Laub forces in material media
Alexander Kholmetskii, Oleg Missevitch, Tolga Yarman
TL;DR
This paper demonstrates that both Lorentz and Einstein-Laub force laws yield consistent relativistic results in material media when hidden momentum is considered, and derives a compatible torque expression for dipoles.
Contribution
It shows the Lorentz and Einstein-Laub force laws are consistent with relativity when hidden momentum is included and derives a compatible torque expression for dipoles.
Findings
Lorentz and Einstein-Laub laws are relativistically consistent with hidden momentum.
Derived a torque expression compatible with both force laws.
Clarified the role of hidden momentum in electromagnetic force calculations.
Abstract
As a continuation of the discussion started in (M. Mansuripur, Phys. Rev. Lett. 108, 193901 (2012)), we show that the approach based on Lorentz force law in material media, like Einstein-Laub expression for electromagnetic force, gives relativistically consistent results, when the contribution of hidden momentum is properly accounted for. An expression for the torque on point-like electric/magnetic dipole is derived, which is compatible with both the Lorentz and Einstein-Laub approaches.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Experimental and Theoretical Physics Studies · Relativity and Gravitational Theory