h****a 发帖数: 234 | 1 use "retarded potential" ya...
phi(r,t)=1/(4pi) \int(d3r' \rho(r',t-|r-r'|/c) / |r-r'|)
A(r,t)=1/(4pi) \int (d3r' \j(r',t-|r-r'|/c)/|r-r'|)
where phi(r,t) and A(r,t) are the scalar and vector
potentials
(in Lorentz gauge), and
\rho(r,t) and j(r,t) are the charge and current densities,
for point particle
\rho(r,t)=q delta(r-R(t))
j(r,t)= q v(t)delta(r-R(t))
where R(t) is the trajectory of the electron.
Readily derivable from the above. |
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