Abstract

We present a quantum kinetic theory for spin-1/2 particles, including the spin–orbit interaction, retaining particle dispersive effects to all orders in \(\hbar \), based on a gauge-invariant Wigner transformation. Compared to previous works, the spin–orbit interaction leads to a new term in the kinetic equation, containing both the electric and magnetic fields. Like other models with spin–orbit interactions, our model features “hidden momentum”. As an example application, we calculate the dispersion relation for linear electrostatic waves in a magnetized plasma, and electromagnetic waves in a unmagnetized plasma. In the former case, we compare the Landau damping due to spin–orbit interactions to that due to the free current. We also discuss our model in relation to previously published works.

Graphic abstract

中文翻译：

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短尺度量子动力学理论，包括自旋-轨道相互作用

摘要

我们提出了自旋1/2粒子的量子动力学理论，包括自旋-轨道相互作用，基于规范不变的Wigner变换，将粒子的弥散效应保持在\（\ hbar \）中的所有阶数。与以前的工作相比，自旋轨道相互作用导致动力学方程中包含电场和磁场的新项。像其他具有自旋轨道相互作用的模型一样，我们的模型具有“隐藏动量”的特征。作为示例应用程序，我们计算了磁化等离子体中的线性静电波和非磁化等离子体中的电磁波的色散关系。在前一种情况下，我们将由于自旋轨道相互作用而产生的Landau阻尼与由于自由电流引起的Landau阻尼进行了比较。我们还将讨论与先前发表的作品有关的模型。

图形摘要