### 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 language | English |
---|---|

Article number | 038 |

Pages (from-to) | 6431-6449 |

Number of pages | 19 |

Journal | Journal of Physics A: General Physics |

Volume | 26 |

Issue number | 22 |

DOIs | |

Publication status | Published - 1993 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: General Physics*,

*26*(22), 6431-6449. [038]. https://doi.org/10.1088/0305-4470/26/22/038

**Theory of spontaneous radiation by electrons in a trajectory-coherent approximation.** / Bagrov, V. G.; Belov, V. V.; Yu Trifonov, A.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 26, no. 22, 038, pp. 6431-6449. https://doi.org/10.1088/0305-4470/26/22/038

}

TY - JOUR

T1 - Theory of spontaneous radiation by electrons in a trajectory-coherent approximation

AU - Bagrov, V. G.

AU - Belov, V. V.

AU - Yu Trifonov, A.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33744773269&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744773269&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/26/22/038

DO - 10.1088/0305-4470/26/22/038

M3 - Article

VL - 26

SP - 6431

EP - 6449

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 22

M1 - 038

ER -