磁场下有原子自旋轨道耦合的各向异性量子点的精确解析传播子  

Exact analytical propagators for anisotropic quantum dots under magnetic field with atomic spin-orbital coupling

作　　者：陈寅 郭伟[1] 潘孝胤[1] CHEN Yin;GUO Wei;PAN Xiaoyin(School of Physical Science and Technology,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学物理科学与技术学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2021年第1期55-64,共10页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(11375090)。

摘　　要：量子力学中很少有系统能够精确地计算传播子,特别是在考虑了自旋轨道耦合效应的情况下.利用相空间的群论方法,首先导出了有原子自旋轨道耦合的各向异性量子点传播子的精确解析表达式.随后利用传播子来计算自旋高斯波包的演化与相应的概率密度,并研究了原子自旋轨道耦合效应和磁场强度对距离期望值的影响.In quantum mechanics,there are very few systems whose propagators can be obtained exactly,especially in the case of taking spin-orbital coupling(SOC)effects into account.Using the group theoretical method in phase space,we start with deriving exact analytical expressions for the propagators of anisotropic quantum dots with atomic spin-orbital coupling(ASOC).As an example of application,the evolution of spin-dependent Gaussian wave packets is calculated using the propagator,along with which the corresponding probability densities,the effects of ASOC and magnetic field on the expectations of the distances are also investigated.

关 键 词：路径积分方法 自旋轨道耦合 量子点 磁场 

分 类 号：O413.1[理学—理论物理]