| 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 |
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| 引用本文： | 陈 寅 郭 伟 潘孝胤. 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[J]. 宁波大学学报(理工版), 2021, 0(1): 55-64 |
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| 作者姓名： | 陈 寅 郭 伟 潘孝胤 |
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| 作者单位： | 宁波大学 物理科学与技术学院, 浙江 宁波 315211 |
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| 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.
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| 关 键 词： | 路径积分方法 自旋轨道耦合 量子点 磁场 |
Exact analytical propagators for anisotropic quantum dots under magnetic field with atomic spin-orbital coupling |
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| CHEN Yin,GUO Wei,PAN Xiaoyin. Exact analytical propagators for anisotropic quantum dots under magnetic field with atomic spin-orbital coupling[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2021, 0(1): 55-64 |
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| Authors: | CHEN Yin GUO Wei PAN Xiaoyin |
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| Affiliation: | School of Physical Science and Technology, Ningbo University, Ningbo 315211, China |
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| Abstract: | 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. |
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| Keywords: | path-integral method spin-orbital coupling quantum dot magnetic field |
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