Coherent radiation of photons by particle wave packets
- URL: http://arxiv.org/abs/2205.14638v2
- Date: Sun, 12 Jun 2022 01:52:55 GMT
- Title: Coherent radiation of photons by particle wave packets
- Authors: P.O. Kazinski, T.V. Solovyev
- Abstract summary: The radiation of photons by electrons is investigated in the framework of quantum electrodynamics up to the second order in the coupling constant $e$.
Three processes are stimulated radiation by an electron, coherent radiation from a beam of particles, and reradiation of a photon in the Compton process.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The radiation of photons by electrons is investigated in the framework of
quantum electrodynamics up to the second order in the coupling constant $e$.
The $N$-particle, coherent, and thermal initial states are considered and the
forms of the electron wave packets are taken into account. The explicit
expressions for the intensity of radiation and the inclusive probability to
record a photon are obtained. It is found that there are three processes in
this order of perturbation theory where the electron wave packet radiates
coherently and can be regarded as a charged fluid even on integrating over the
final states of the electron, i.e., in considering the inclusive probabilities
and intensity of radiation. These processes are stimulated radiation by an
electron, coherent radiation from a beam of particles, and reradiation of a
photon in the Compton process. We obtain the explicit expressions for the
intensity of radiation and the inclusive probability to record a photon for
these processes. As particular cases, we consider: stimulated transition
radiation produced by an electron wave packet traversing a mirror and
backlighted by a laser wave, reradiation of photons in a coherent state by an
electron wave packet. In the latter case, we deduce that the wave packet of a
single electron can be endowed with the susceptibility tensor and this tensor
has the same form as for an electron plasma in the small recoil limit.
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