恒定磁场中相对论电子与辐射的相互作用
Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field
摘要：
这项工作研究了多光子发射对电子发射同步辐射的量子力学状态和辐射强度的影响。计算与微扰理论的基础上使用扩展的相干态的变体。一个通用的公式推导出的发射光子的数量，它允许考虑到它们的相互作用。用一个模型问题证明了修正微扰理论中不存在红外突变。最后，计算了电子的密度矩阵，通过对该矩阵的分析，可以得出电子在加速过程中，其空间局域化程度随时间的推移而增加的结论。
英文摘要：
The work examines the effect of multiple photon emission on the quantum mechanical state of an electron emitting synchrotron radiation and on the intensity of that radiation. Calculations are done with the variant of perturbation theory based on the use of extended coherent states. A general formula is derived for the number of emitted photons, which allows for taking into account their mutual interaction. A model problem is used to demonstrate the absence of the infrared catastrophe in the modified perturbation theory. Finally, the electron density matrix is calculated, and the analysis of this matrix makes it possible to conclude that the degree of the elecron's spatial localization increases with the passage of time if the electron is being accelerated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
