von Laue's Theorem and Its Applications

Abstract

von Laue's theorem, as well as its generalized form, is strictly proved in detail for its sufficient and necessary condition (SNC). This SNC version of Laue's theorem is used to analyze the infinitely extended electrostatic field produced by a charged metal sphere in free space, and the static field confined in a finite region of space. It is shown in general that the total (Abraham = Minkowski) EM momentum and energy for the electrostatic field cannot constitute a Lorentz four-vector. A derivative von Laue's theorem, which provides a criterion for a Lorentz invariant, is also presented.

Published version, with "Materials to help reading" attached. 12 pages, 1 figure

References in corpus (3)

• Maxwell's macroscopic equations, the energy-momentum postulates, and the Lorentz law of force
• Relativistic analysis of the dielectric Einstein box: Abraham, Minkowski and total energy-momentum tensors
• Plane wave in a moving medium and resolution of the Abraham-Minkowski debate by the special principle of relativity

Cited by in corpus (6)

• Self-consistent theory for a plane wave in a moving medium and light-momentum criterion
• Laue's Theorem Revisited: Energy-Momentum Tensors, Symmetries, and the Habitat of Globally Conserved Quantities
• Fantastic quasi-photon and the symmetries of Maxwell electromagnetic theory, momentum-energy conservation law, and Fermat's principle
• Disproof of a widely-accepted mathematical conjecture
• Resolution of two fundamental issues in the dynamics of relativity and exposure of a real version of the emperor's new clothes
• On the positive mass theorem in general relativity and Lorentz covariance of the Dirac wave equation in quantum mechanics