Abstract
By means of the Baier-Katkov operator method a general solution of the radiative-loss problem for fast electrons in crystals is obtained, which takes into account the quantum recoil during the photon emission and needs no analysis of the radiation frequency spectrum. At ultrahigh energies E the classical dependence E 2 for radiative losses under channeling conditions is shown to be replaced by the quantum synchrotron law E 2 3 . The transitional energy region is investigated and the possibility of observing pronounced quantum effects in modern experiments with crystals of heavy elements in demonstrated.
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