It should be taken into account, however, that the result described by Eq. 4.5.7 is only formal and is not realistic, because Eq. 4.4.18 and hence Eq. 4.5.6 are valid for only non-relativistic energies and that one should use Eq. 4.4.38 for the range of sufficiently high energies. In order to find the spectrum of accelerated particles at 0< 1/2 one should take into account the particle distribution over t according to Eq. 4.2.7, the dependence of t on according to Eq. 4.5.4, and that, according to Eq. 4.5.6, t =
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