旋转场中的双时动力学方程
Equal-time kinetic equations in a rotational field
摘要：
研究了转动场中大质量费米子系统的量子动力学理论。从弯曲空间中的狄拉克方程出发，我们导出了协变和等时维格纳函数自旋分量的完整动力学方程组。虽然在一般情况下，由于转动-自旋耦合，粒子不再处于质量壳层上，但总是只有两个独立的分量，它们可以被视为数量密度和自旋密度。借助于离壳层约束，我们得到了两个独立组分在经典极限和量子水平下的封闭输运方程。经典的转动-轨道耦合控制了粒子数密度的动力学演化，而量子转动-自旋耦合则明显改变了粒子的自旋密度。
英文摘要：
We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time Wigner functions. While the particles are no longer on a mass shell in general case due to the rotation-spin coupling, there are always only two independent components, which can be taken as the number and spin densities. With the help from the off-shell constraint we obtain the closed transport equations for the two independent components in classical limit and at quantum level. The classical rotation-orbital coupling controls the dynamical evolution of the number density, but the quantum rotation-spin coupling explicitly changes the spin density.
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