论文标题

粒子波包对光子的相干辐射

Coherent radiation of photons by particle wave packets

论文作者

Kazinski, P. O., Solovyev, T. V.

论文摘要

电子在量子电动力学的框架中研究了电子光子的辐射,直到耦合常数$ e $的二阶辐射。考虑了$ n $ - 粒子,连贯和热初始状态,并考虑电子波包的形式。获得了辐射强度和记录光子的包含概率的明确表达式。发现在这个扰动理论顺序存在三个过程,电子波包相干地辐射,并且即使在电子的最终状态(即在考虑辐射的包含概率和强度)上,也可以被视为带电的流体。这些过程是通过电子刺激的辐射,从颗粒梁束的相干辐射以及在康普顿过程中重新载体的辐射。我们获得了辐射强度的显式表达式,以及在这些过程中记录光子的包含概率。作为特定情况,我们考虑:刺激的过渡辐射是由电子波包横穿镜子并用激光波的背光的电子波包产生的,通过电子波数据包在相干状态下的光子重新辐射。在后一种情况下,我们推断出单个电子的波数据包可以赋予易感性张量,并且该张量的形式与在小后坐力极限下的电子等离子体相同。

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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