Transition radiation in the quantum regime as a diffractive phenomenon
  We demonstrate that the transition photon radiation and pair creation can be interpreted as a diffractive phenomenon in terms of the light-cone wave functions in a way similar to the Good-Walker approach [6] to the diffraction dissociation. Our formulas for spectra agree with those obtained by Baier and Katkov [5] within the quasiclassical operator method. However, there is some disagreement with earlier results by Garibyan [4]. 
D. Schildknecht, B.G. Zakharov