AI 中文总结
该研究提出时间演化算符对应不同自旋粒子的非阿贝尔规范变换，在铁磁系统磁化动力学中引入温度依赖非阿贝尔热规范势，给出LLG方程的线性近似解析解。
AI 中文摘要
本研究表明，常规时间演化算符可对初始波函数起到U(1)规范变换的作用。当考虑系统的自旋自由度时，时间演化算符对应自旋1/2粒子的非阿贝尔SU(2)规范变换，以及自旋1粒子的SU(3)规范变换。若在自旋极化电流驱动的铁磁系统磁化动力学中采用绝热近似，将出现温度依赖的非阿贝尔热规范势。我们可采用温度依赖的朗道-利夫希茨-吉尔伯特（LLG）方程描述半经典极限下的磁化动力学，并给出该方程的线性近似解析解。
英文摘要
This study shows that the usual time evolution operator can act as a U(1) gauge transformation on the initial wavefuntion. When considering the spin freedom in the system, the time evolution operator corresponds to a non-Abelian SU(2) gauge transformation for spin-1/2 particles and a SU(3) gauge transformation for spin-1 particles. If we adopt the adiabatic approximation in the magnetization dynamics of a ferromagnetic system driven by a spin-polarized current, a temperature-dependent non-Abelian thermal gauge potential will appear. We can employ a temperature-dependent Landau-Lifshitz-Gilbert (LLG) equation to describe the magnetization dynamics in the semi-classical limit, a linear approximated solution for this equation is given analytically.
Comments15pages,2figures
