中文摘要：

用多体平均场意义下电子的Dirac方程讨论了电子自旋动力学及其相关问题.在大分量Dirac方程的非相对论展开中讨论了电子自旋动力学的高阶效应,并且在二维情形下得到了包括一阶和二阶Rashba效应的电子自旋动力学哈密顿量,求出了相应的包括二阶Rashba效应的哈密顿量的能量和波函数的本征值解,由此讨论了二阶Rashba效应修正的物理含义和大小.

英文摘要：

Within the framework of relativistic mean field theory- the Dirac equation of electrons in solid states, the electron spin dynamics and the related problems are discussed. Firstly, we discuss the high-order effects of electron spin dynamics by virtue of non-relativistic expansion of the Hamihonian for large component of Dirae equation, the electron spin dynamics Hamiltonian including the first-order and second-order Rashba effects have been derived. In the ease of two-dimension and perpendicular constant electric field, the corresponding eigenenergies and eigenfunetions of the spin dynamics Hamiltonian are obtained. Finally, the physical meaning and the magnitude of the correction of the second-order Rashba effect are discussed.