Here the value A is determined from Eq. 1.11.2; the range of integration over 0!
and 02 is 0 <012 < 2n when the condition v2Eph2/(v1 -v(Eph2/E))> 0 which is equivalent to the condition Eph2 < v1E/v is satisfied.
The Eq. 1.11.6 can be significantly simplified if the energy of the scattered photons is examined in the range
In this case
where y = Eph2 (1 - ¡)/Tph (1 + ¡5). For relativistic electrons at E >> mec2 (i.e. 1), we shall obtain by substituting Eq. 1.11.8 at ¡ = 1 in Eq. 1.11.5:
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