强laser波中电子的辐射极化
Radiative polarization of electrons in a strong laser wave
摘要：
本文重新分析了电子与圆极化强平面波碰撞时的辐射极化问题。我们提出了一个独立的分析验证公式的截面D.\，Yu. Ivanov等人[Eur.物理学\ J. C \textbf{36}，127（2004）]。通过选择电子的螺旋度作为自旋量子数，我们证明了自极化效应只存在于能量为$γ= E/mc^2 \lesssim 10$的中等相对论性电子和非迎头碰撞几何中.在这些条件下，偏振度可达65%，但有效偏振时间大于1 μ s，即使对于强度参数为$ξ= |{\bf E}| m c^2/E_c \hbar ω\sim 0.1$（$E_c = m^2 c^3/e \hbar$）的高功率光或红外激光也是如此。这使得这种两极分化实际上无法实现。我们还比较了这些结果与一些论文中预测的高偏振度的超相对论的情况。我们认为，这种明显的矛盾产生的自旋量子数的不同选择。特别地，提供高偏振度的量子数既不代表螺旋性也不代表横向偏振，这使得它们在实践中的使用不方便。
英文摘要：
We reanalyze the problem of radiative polarization of electrons brought into collision with a circularly polarized strong plane wave. We present an independent analytical verification of formulae for the cross section given by D.\,Yu. Ivanov et al [Eur.\ Phys.\ J. C \textbf{36}, 127 (2004)]. By choosing the exact electron's helicity as the spin quantum number we show that the self-polarization effect exists only for the moderately relativistic electrons with energy $γ= E/mc^2 \lesssim 10$ and only for a non-head-on collision geometry. In these conditions polarization degree may achieve the values up to 65%, but the effective polarization time is found to be larger than 1\,s even for a high power optical or infrared laser with intensity parameter $ξ= |{\bf E}| m c^2/E_c \hbar ω\sim 0.1$ ($E_c = m^2 c^3/e \hbar$). This makes such a polarization practically unrealizable. We also compare these results with the ones of some papers where the high degree of polarization was predicted for ultrarelativistic case. We argue that this apparent contradiction arises due to the different choice of the spin quantum numbers. In particular, the quantum numbers which provide the high polarization degree represent neither helicity nor transverse polarization, that makes the use of them inconvenient in practice.
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