Therefore they can be used for moving charges and currents. First, looking back at that expression, i think i have messed up the coefficients, but the form appears correct. Jefimenko s tiny bit of fame comes from jefimenko s equations, which are the general solution to maxwell s equations expressed solely in terms of sources, that is charge and current distributions. For simplicity we restrict our considerations to the vacuum. Jefimenkos equations in electromagnetism, jefimenkos equations named after oleg d. They are the general solutions to maxwells equations for any arbitrary distribution of charges and currents. This becomes clear from the fact that electromagnetism is a gaugefield theory and theres the continuity equation as a consistency or integrability constraint. In electromagnetism, jefimenkos equations named after oleg d. Jefimenko describe the behavior of the electric and magnetic fields in. Evans department of mathematics, uc berkeley inspiringquotations a good many times ihave been present at gatherings of people who, by the standards. Suggestions on how to fix the coefficients or if they are correct are welcome. This handbook is intended to assist graduate students with qualifying examination preparation.
Albert einstein 5 preface december, 1916 the present book is intended, as far as possible, to give an exact insight into the theory of relativity to those readers who, from a. The longitudinal electric field and the maxwell equation. The notation is rather messy, but this is indeed jefimenko s equations in tensor form. The traditional multipole expansion of the electromagnetic field in cartesian coordinates is exposed in electrodynamics textbooks, as the wellknown refs. Also the retarded solutions jefimenkos equations do not show that electric and magnetic fields are independent quantities. Electromagnetic radiation potential formulation of maxwell equations now we consider a general solution of maxwell s equations.
1653 1268 953 1012 384 439 571 452 1265 348 670 968 71 645 288 1203 602 38 1142 1590 1287 1365 1125 1077 1165 595 242 1012 799 987 637 111 176 1148