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The detailed calculations for all energies with some explicit expression such as (
13.74) for t(a>) are quite complicated and not particularly informative. We will
content ourselves with the extreme relativistic limit (/J ~ 1). Furthermore, since the
angles such that 2fcasin-~l (14.112) If the frequency is low enough so that ka < 1,
then the limit qa < 1 will apply at all angles. But for frequencies where ka :> 1,
there will be a region of forward angles less than e,.~— (14.113) ka where the
Bethe-Heitler-^ 1.00 0.75 Fjg lss Radiation ^^ ^^^ in the complete screening limit.
The constant value is the semi- classical result. The curve marked "Bethe-Heitler"
is the quantum- mechanical Born approximation. For extremely relativistic ...
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Introduction to Electrostatics
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