Moving Charges in Vacuum

  • Walter Greiner
Part of the Theoretical Physics book series (CLASSTHEOR)


In this chapter we want to treat the phenomena occurring for rapidly moving charges in vacuum. For this aim we start out from Maxwell’s equations. Since we restrict ourselves to vacuum, E = D, H = B, and for Maxwell’s equations we may write:
$$ \nabla \cdot{\text{E = 4}}\pi \rho $$
$$ \nabla \cdot{\text{H = 0}} $$
$$ \nabla \times {\text{E = - }}\frac{1}{c}\frac{{\partial {\text{H}}}}{{\partial t}} $$
$$ \nabla \times {\text{H = }}\frac{{4\pi }}{c}{\text{j + }}\frac{1}{c}\frac{{\partial {\text{E}}}}{{\partial t}} $$
where p(r, t) and j(r, t) are general, time-dependent distributions of charge densities and current densities, respectively.


Green Function Vector Potential Integration Path Moving Charge Coulomb Gauge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Walter Greiner
    • 1
  1. 1.Institut für Theoretische PhysikJohann Wolfgang Goethe-UniversitätFrankfurt am MainGermany

Personalised recommendations