Radiation of relativistic particles in conditions of multiple-value deviation function

The classical limit of the quantum theory formulae for high-energy particle radiation in the external field under conditions of deviation function multiplicity is considered. It is shown that under these conditions the interferential effect of radiation related to the field interference conrersponding to the one-valued branches of the deviation function, is possible. The channeled positron radiation spectrum is found with regard to this interference. It is shown that this spectrum contains new maxima in the region of low frequencies in comparison with the case when the interferenced marked is not taken into consideration