论文标题

旋转帧中狄拉克颗粒的半经典传输方程

Semiclassical transport equations of Dirac particles in rotating frames

论文作者

Dayi, O. F., Kilincarslan, E.

论文摘要

我们建立了大量自旋1/2颗粒的协变量半经典传输方程,这些方程是由通过焓电流依赖项修饰的量子动力学方程产生的。修改的目的是考虑到旋转框架的角速度而导致的非固体特性,这等同于流体动力学方法中的流体涡度。我们介绍了Wigner函数组件满足的方程,并通过在半经典近似中研究其解决方案,我们可以完成传输方程。为了获得三维动力学理论,在四摩托姆的零件成分上集成了相对论动力学方程。在零温度下计算所得的矢量和轴向矢量电流。还有另一种三维式颗粒的三维公式,该公式正确地解决了旋转坐标的非稳定特征。我们简要审查它,并获得该公式产生的手性载体和轴向矢量电流的质量校正。

We establish covariant semiclassical transport equations of massive spin-1/2 particles which are generated by the quantum kinetic equation modified by enthalpy current dependent terms. The purpose of modification is to take into account the noninertial properties due to the angular velocity of rotating frame which is equivalent to the fluid vorticity in hydrodynamical approach. We present the equations satisfied by the Wigner function components and by studying their solution in the semiclassical approximation we accomplish the transport equations. To acquire a three-dimensional kinetic theory, the relativistic kinetic equations in the comoving frame are integrated over the zeroth component of four-momentum. The resulting vector and axial-vector currents are calculated at zero temperature. There exists another three-dimensional formulation of Dirac particles which correctly addresses the noninertial features of rotating coordinates. We review it briefly and obtain the mass corrections to the chiral vector and axial-vector currents produced by this formulation.

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