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Since the Lagrangian must be a function of velocities and coordinates, we write
the free-particle equation of motion as d jomo = 0 (12.67) where y = [1 — (v*|c”)] *.
At the least sophisticated level we know that the Lagrangian L. must be chosen ...
Since oo-" is a time appropriate to the mechanical motion, again we see that, if
the relevant mechanical time interval is long compared to the characteristic time t
(17.3), radiative reaction effects on the motion will be unimportant. The examples
Hint: In performing the time averages make use of Kepler's law of equal areas (dt
= mr^ d6/L) to convert time integrals to angular integrals. 17.4 The Dirac (1938)
relativistic theory of classical point electrons has as its 17.5 equation of motion, ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
BoundaryValue Problems in Electrostatics II
16 other sections not shown