The Lorentz force law and its connections to hidden momentum, the Einstein-Laub force, and the Aharonov-Casher effect
arXiv:1404.3261 · doi:10.1109/TMAG.2013.2291817
Abstract
The Lorentz force of classical electrodynamics, when applied to magnetic materials, gives rise to hidden energy and hidden momentum. Removing the contributions of hidden entities from the Poynting vector, from the electromagnetic momentum density, and from the Lorentz force and torque densities simplifies the equations of the classical theory. In particular, the reduced expression of the electromagnetic force-density becomes very similar (but not identical) to the Einstein-Laub expression for the force exerted by electric and magnetic fields on a distribution of charge, current, polarization and magnetization. Examples reveal the similarities and differences among various equations that describe the force and torque exerted by electromagnetic fields on material media. An important example of the simplifications afforded by the Einstein-Laub formula is provided by a magnetic dipole moving in a static electric field and exhibiting the Aharonov-Casher effect.
18 pages, 7 figures, 51 equations, 57 references
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Cited by in corpus (4)
- Ponderomotive Forces, Stokes Drift, and Momentum in Acoustic and Electromagnetic Waves
- Hidden but real: new relativistic "paradox" exposing the ubiquity of hidden momentum
- Electric and Magnetic Dipoles in the Lorentz and Einstein-Laub Formulations of Classical Electrodynamics
- Electromagnetic force and torque derived from a Lagrangian in conjunction with the Maxwell-Lorentz equations