2013
DOI: 10.1103/physrevlett.110.089403
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Comment on “Trouble with the Lorentz Law of Force: Incompatibility with Special Relativity and Momentum Conservation”

Abstract: A Comment on the Letter by M. Mansuripur, Phys. Rev. Lett. 108, 193901 (2012). The authors of the Letter offer a Reply.

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Cited by 28 publications
(26 citation statements)
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(31 reference statements)
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“…4 It is by no means straightforward to obtain the Einstein-Laub force density, in particular the final hidden-momentm related term, from the microscopic Lorentz force law and it has been suggested, for this reason, that the latter is incorrect [75]. A relativistic treatment, however, reveals that the required hidden-momentum contribution arises quite naturally from the Lorentz force law [76][77][78][79][80].…”
Section: Momentum Transfer To a Half-space Magneto-dielectricmentioning
confidence: 99%
“…4 It is by no means straightforward to obtain the Einstein-Laub force density, in particular the final hidden-momentm related term, from the microscopic Lorentz force law and it has been suggested, for this reason, that the latter is incorrect [75]. A relativistic treatment, however, reveals that the required hidden-momentum contribution arises quite naturally from the Lorentz force law [76][77][78][79][80].…”
Section: Momentum Transfer To a Half-space Magneto-dielectricmentioning
confidence: 99%
“…(34), we start from the relativistic formulas for the energy-density ℰ( , ) and momentum-density ( , ) of a point-particle of rest-mass o ( ) and velocity ( ) given in Eqs. (26)(27)(28). Considering that ′ ( ) = 3 • ′ / 2 , we find…”
Section: Appendix Amentioning
confidence: 96%
“…Hidden momentum is a relativistic effect that may lead a magnetic dipole to carry linear momentum in the presence of an electric field even if it is not moving. In the situation described in Mansuripur paradox, there is a "hidden angular momentum" whose time derivative is equal to the torque in each reference frame, so there is no angular acceleration of the dipole and the physical description of the system in the different frames are equivalent [3]. One important lesson derived from Mansuripur paradox is that the validity of the Lorentz force law is thus conditioned to the existence of hidden momentum.…”
Section: Introductionmentioning
confidence: 99%
“…Such an attack to the foundations of the electromagnetic theory obviously called the attention of the scientific community [2]. However, the paradox is solved when the "hidden momentum" of the magnetic dipole is taken into account [3][4][5][6][7]. Hidden momentum is a relativistic effect that may lead a magnetic dipole to carry linear momentum in the presence of an electric field even if it is not moving.…”
Section: Introductionmentioning
confidence: 99%