We present a detailed analysis of the self-consistent system of kinetic equations (KEs) describing electron-positron pair production from vacuum under the action of a spatially homogeneous time-dependent electric field of arbitrary polarization. The physical significance of all the basic functions of the kinetic theory is ascertained. It is demonstrated that the total system of the KEs consists of two coupled quasiparticle and spin subsystems with their integrals of motion. A projection method is proposed in order to obtain the KE system in two particular cases: linearly polarized external electric field and (2+1)-dimensional description of quasiparticles in graphene. We also address the energy conservation law taking into account the internal plasma field and describe an alternative rigorous derivation of the KE system.

我们介绍了动力学方程（KEs）的自洽系统的详细分析，该方程描述了在任意极化的空间均匀时间相关电场的作用下从真空中产生电子-正电子对。确定了动力学理论所有基本功能的物理意义。结果表明，KE的整个系统由两个耦合的准粒子和自旋子系统组成，它们具有运动积分。为了在两种特定情况下获得KE系统，提出了一种投影方法：线性极化外部电场和石墨烯中准粒子的（2 + 1）维描述。我们还考虑了内部等离子体场，阐述了节能法，并描述了KE系统的另一种严格的推导方法。