论文标题
在电场和磁场中限制在空间曲线的自旋1/2粒子的有效动力学
Effective dynamics for a spin-1/2 particle constrained to a space curve in an electric and magnetic field
论文作者
论文摘要
我们考虑使用外部电场和磁场在任意空间曲线中移动的自旋1/2粒子的动力学。借助轨距理论，我们成功地将切向和正常动力学分离并得出有效的哈密顿量。出现了一种称为SU（2）Zeeman相互作用的新型量子电势，由电场和夫妻自旋和内在的轨道角动量引起。基于哈密顿量，我们讨论了零固有的轨道角动量病例的自旋进动，以及SU（2）Zeeman相互作用引起的螺旋螺旋的能量分裂为示例，显示了几何和外部场的综合作用。新的相互作用可能会带来新的方法来操纵Spintronics中的量子状态。
We consider the dynamics of a spin-1/2 particle constrained to move in an arbitrary space curve with an external electric and magnetic field applied. With the aid of gauge theory, we successfully decouple the tangential and normal dynamics and derive the effective Hamiltonian. A new type of quantum potential called SU(2) Zeeman interaction appears, which is induced by the electric field and couples spin and intrinsic orbital angular momentum. Based on the Hamiltonian, we discuss the spin precession for zero intrinsic orbital angular momentum case and the energy splitting caused by the SU(2) Zeeman interaction for a helix as examples, showing the combined effect of geometry and external field. The new interaction may bring new approaches to manipulate quantum states in spintronics.
