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Theoretical Study of Ultra-Relativistic Laser Electron Interaction with Radiation Reaction by Quantum Description

机译：量子描述的超相对论激光电子与辐射反应的理论研究

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In the near future, the intensity of the ultra-short pulse laser will reach to 1022 W/cm2. When an electron is irradiated by this laser, the electron's behavior is relativistic with significant bremsstrahlung. This radiation from the electron is regarded as the energy loss of electron. Therefore, the electron's motion changes because of the kinetic energy changing. This radiation effect on the charged particle is the self-interaction, called the “radiation reaction” or the “radiation damping”. For this reason, the radiation reaction appears in laser electron interactions with an ultra-short pulse laser whose intensity becomes larger than 1022 W/cm2. In the classical theory, it is described by the Lorentz-Abraham-Dirac (LAD) equation. But, this equation has a mathematical difficulty, which we call the “run-away”. Therefore, there are many methods for avoiding this problem. However, Dirac's viewpoint is brilliant, based on the idea of quantum electrodynamics. We propose a new equation of motion in the quantum theory with radiation reaction in this paper.
机译：在不久的将来，超短脉冲激光的强度将达到10 22 W / cm 2 。当电子被该激光束照射时，电子的行为是相对论的，具有显着的致辐射。来自电子的辐射被视为电子的能量损失。因此，电子的运动由于动能的变化而变化。对带电粒子的这种辐射效应是自相互作用，称为“辐射反应”或“辐射阻尼”。因此，在与强度大于10 22 W / cm 2 的超短脉冲激光器的激光电子相互作用中会发生辐射反应。在经典理论中，用洛伦兹-亚伯拉罕-狄拉克（LAD）方程描述。但是，这个方程有一个数学上的困难，我们称之为“失控”。因此，有许多方法可以避免此问题。然而，基于量子电动力学的思想，狄拉克的观点非常出色。在本文中，我们提出了具有辐射反应的量子理论中的一个新的运动方程。

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