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Operator representation of the wave function for a charged particle in an external field and its applications

  • Atoms, Spectra, Radiation
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Abstract

A consistent derivation of the operator form for the solution of the wave equation for a charged particle in an arbitrary external electromagnetic field is presented. The expressions obtained can be used for solving any problems in quantum electrodynamics in external fields in the framework of the semiclassical operator method. The peculiarities of the application of this method are demonstrated for the small-angle elastic scattering of a high-energy photon in an arbitrary localized electric field. The problem is solved for the first time without presuming the central symmetry of the external field potential.

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Authors and Affiliations

  1. Budker Institute of Nuclear Physics, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent’eva, Novosibirsk, 630090, Russia

    V. M. Katkov & V. M. Strakhovenko

Authors
  1. V. M. Katkov
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  2. V. M. Strakhovenko
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Correspondence to V. M. Strakhovenko.

Additional information

__________

Translated from Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 119, No. 4, 2001, pp. 649–664.

Original Russian Text Copyright © 2001 by Katkov, Strakhovenko.

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Katkov, V.M., Strakhovenko, V.M. Operator representation of the wave function for a charged particle in an external field and its applications. J Exp Theor Phys 92, 561–575 (2001). https://doi.org/10.1134/1.1371339

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  • DOI: https://doi.org/10.1134/1.1371339

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