arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1609.09472cond-mat.mes-hallquant-ph
收藏

condensed matter系统自旋动力学的相空间方法

Phase space methods for the spin dynamics in condensed matter systems

Jerome Hurst, Paul-Antoine Hervieux, Giovanni Manfredi

摘要:

利用量子力学的相空间公式,考虑塞曼效应和自旋轨道耦合,导出了自旋为1/2的费米子(典型的是电子)组成的系统的四分量Wigner方程.这个维格纳方程耦合到适当的麦克斯韦方程组,形成一个自洽的平均场模型。将全量子模型在普朗克常量下展开到一阶,得到了一组考虑自旋效应的半经典Vlasov方程。通过取相空间分布函数的速度矩,导出了相应的流体动力学方程。提出了一个简单的封闭关系,以获得一个封闭的流体动力学方程组。

英文摘要:

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner equation is coupled to the appropriate Maxwell equations to form a self-consistent mean-field model. A set of semiclassical Vlasov equations with spin effects is obtained by expanding the full quantum model to first order in the Planck constant. The corresponding hydrodynamic equations are derived by taking velocity moments of the phase-space distribution function. A simple closure relation is proposed to obtain a closed set of hydrodynamic equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑