_ / ?8 / 2 1 (28-1) (3) The case 28 - 1 < 0. Here, at Ek << ^Ek" /ufmac) we shall obtain for
Ek (t) and n(Ek) the expressions coinciding with Eq. 4.5.20 and 4.5.21 respectively.
( 28 / 2 1(28-1) If, however Ek >> yE^ / ui mac j we shall obtain for Ek (() and n(Ek) the expressions coinciding with Eq. 4.5.18 and 4.5.19, respectively.
4.5.3. Particle acceleration and formation of the spectrum in relativistic energy range including the variations in the parameters X and u with total particle energy E increasing
In the relativistic case we shall use Eq. 4.4.38. Substituting Eq. 4.5.1 and Eq. 4.5.2 in Eq. 4.4.38, we obtain
Since the non-relativistic energy range was examined above, we shall analyze here the ultra-relativistic case where it may be assumed that v ~ c . In this case it follows from Eq. 4.5.22 that
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