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given by S M Darbinian to whom I express my deep indebted
The PseudoPhoton Method
Coherent Bremsstrahlung in a Crystal
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absorption addend angle 9 angular distribution assumed axes axis beam Bessel function Bethe-Heitler formula bremsstrahlung cross section calculation charged particle coherent length coherent term component Compton scattering condition consider coordinates corresponding crystalline curves denotes density dependence derived determined dielectric constant direction distances electromagnetic electron energy electron-positron pair production equation experimental factor field fulfilled function harmonic high energies incidence angles inequality initial integration with respect interface JETP USSR multiple scattering nucleus obtain parameter periodic medium perpendicular perturbation theory photon polarization photon radiation plane containing plate positron pseudo-photon method quantum radiated photon radiation angle radiation intensity radiation length reciprocal lattice region relativistic relativistic particles resonance radiation screening Section 28 sections of bremsstrahlung sin2 single crystal small angles soft photons solid angle stratified medium summation thermal vibrations thickness total cross sections trajectory transition radiation variables velocity waves y-quanta