Theory of spontaneous radiation by electrons in a trajectory-coherent approximation

V. G. Bagrov, V. V. Belov, A. Yu Trifonov

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Abstract

The first-order quantum correction for the characterization of spontaneous radiation is calculated by means of electron quasi-classical trajectory-coherent states in an arbitrary electromagnetic field. Well known expressions for the characterization of spontaneous radiation are obtained using quasi-classical approximation. The first-order quantum correction is derived as a functional from a classical trajectory (among which is a classical spin vector). Transitions with spin flip and without spin flip are distinguished. Those elements connected with photon kick and quantum motion characteristics are selected for first-order quantum correction. It is shown that, using an ultra-relativistic approximation, the latter may be ignored, but when using a non-relativistic approximation their contributions are approximately equal. A special trajectory-coherent representation that significantly simplifies the investigation of spontaneous radiation is proposed.

Original languageEnglish
Article number038
Pages (from-to)6431-6449
Number of pages19
JournalJournal of Physics A: General Physics
Volume26
Issue number22
DOIs
Publication statusPublished - 1993

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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