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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1980 Volume 45, Number 3, Pages 377–389 (Mi tmf4343)

This article is cited in 4 papers

Amplitudes of elastic scattering of electrons and photons in a constant electromagnetic field

A. E. Lobanov, V. N. Rodionov, I. M. Ternov, V. R. Khalilov


Abstract: 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.

Received: 28.03.1980


 English version:
Theoretical and Mathematical Physics, 1980, 45:3, 1089–1097

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© Steklov Math. Inst. of RAS, 2026