  We present a detailed calculation of channeling radiation of planar-channeled
positrons from crystal targets in the framework of our approach, which was
proposed recently. In contrast to previous calculations of channeling radiation
in crystals, our calculation takes into account the interference between
different transition amplitudes. The development stemmed from the idea that the
amplitude for a given process is the sum of the transition amplitudes for each
transition to lower state of transverse energy with the same energy differences
between bound-bound transitions. It seems that a consistent interpretation is
only possible if positrons move in a nearly harmonic planar potential with
equidistant energy levels.
