Amplitudes of elastic scattering of electrons and photons in a~constant electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 377-389

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A new representation is obtained for the amplitudes of elastic scattering of photons and electrons in a constant crossed electromagnetic field in the first order of perturbation theory in the Furry picture. The imaginary parts of the amplitudes are expressed in terms of products of Whittaker functions (for the photon amplitude) and Bessel and Anger functions (for the electron amplitude). The behavior of the amplitudes near their singular points is investigated.
@article{TMF_1980_45_3_a7,
     author = {A. E. Lobanov and V. N. Rodionov and I. M. Ternov and V. R. Khalilov},
     title = {Amplitudes of elastic scattering of electrons and photons in a~constant electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {377--389},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a7/}
}
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A. E. Lobanov; V. N. Rodionov; I. M. Ternov; V. R. Khalilov. Amplitudes of elastic scattering of electrons and photons in a~constant electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 377-389. http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a7/