Gerald Kaiser 2004 J. Phys. A: Math. Gen. 37 7163 doi:10.1088/0305-4470/37/28/007
Energy–momentum conservation in pre-metric electrodynamics with magnetic charges
Gerald Kaiser
Show affiliationsA necessary and sufficient condition for energy-momentum conservation is proved within a topological, pre-metric approach to classical electrodynamics including magnetic as well as electric charges. The extended Lorentz force, consisting of mutual actions by F ~ (E, B) on the electric current and G ~ (H, D) on the magnetic current, can be derived from an energy-momentum 'potential' if and only if the constitutive relation G = G(F) satisfies a certain vanishing condition. The electric-magnetic reciprocity introduced by Hehl and Obukhov is shown to define a one-parameter family 
z of complex structures on the product space of 2-form pairs (F, G), independent of any spacetime metric, which reduces to the product of two Hodge star operators once a Lorentzian metric is introduced. In contrast to a recent claim made in the literature, it does not define a complex structure on the space of 2-forms itself.
- PACS
-
03.50.De Classical electromagnetism, Maxwell equations
02.30.Jr Partial differential equations
41.20.Jb Electromagnetic wave propagation; radiowave propagation
- MSC
- Subjects
- Dates
-
Issue 28 (16 July 2004)
Received 13 April 2004, in final form 22 May 2004
Published 30 June 2004
-
Energy–momentum conservation in pre-metric electrodynamics with magnetic charges
Gerald Kaiser 2004 J. Phys. A: Math. Gen. 37 7163
-
A NEMS-based sensor to monitor stress in deep sub-micron Cu/Low-k interconnects
C J Wilson et al 2009 Semicond. Sci. Technol. 24 115018
-
Physical limits of silicon transistors and circuits
Robert W Keyes 2005 Rep. Prog. Phys. 68 2701
-
Strong projectile-energy dependence of the Auger-line intensity at
due to Coulomb focusing in fast proton - neon collisions
Gy Víkor et al 1996 J. Phys. B: At. Mol. Opt. Phys. 29 L787
-
The isotropic temperature-dependent potential describing the binary interactions in gaseous
and 
L Zarkova and P Pirgov 1996 J. Phys. B: At. Mol. Opt. Phys. 29 4411
-
Three-parameter wavefunction for the 21S state of helium
Mu-Shiang Wu 1985 J. Phys. B: At. Mol. Phys. 18 L271
-
Precipitation of an icosahedral phase in amorphous Al90Fe5Ce5 alloy
Chuanjiang Zhang et al 2001 J. Phys.: Condens. Matter 13 L647
-
Arrays of Cooper pair boxes coupled to a superconducting reservoir: 'superradiance' and 'revival'
D A Rodrigues et al 2004 J. Phys.: Condens. Matter 16 4477
-
An adaptive left–right eigenvector evolution algorithm for vibration isolation control
T Y Wu 2009 Smart Mater. Struct. 18 115027
-
Local Interstellar Matter: The Apex Cloud
Priscilla C. Frisch 2003 ApJ 593 868
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Trajectory attractors of equations of mathematical physics
- Schur function expansions of KP τ-functions associated to algebraic curves