论文标题
电子波在量子井中自旋
Electron Wave Spin in a Quantum Well
论文作者
论文摘要
电子的颗粒波二元性提出了一个主要问题，即自旋是粒子还是波浪的特性。在本文中，研究了二维量子孔内的电子的自旋性质。通过将确切的$ 4- $旋转特征解决方案求解到Dirac方程式中，我们表明，井内存在稳定的循环总电流密度，并具有甜甜圈形的地形。旋转值通过井的限制几何形状进行了修改。我们的分析还表明，免费的电子高斯波袋不稳定，并且经历了快速的腐烂。
The particle-wave duality of the electron poses a principle question of whether the spin is a property of the particle or the wave. In this paper, the wave nature of the spin is studied for an electron inside a two-dimensional quantum well. By solving the exact $4-$spinor eigen solution to the Dirac equation, we show that a stable circulating total current density exists inside the well with a donut shaped topography. A spin value is modified by the confining geometry of the well. Our analysis also shows that a free electron Gaussian wavepacket is unstable and experiences quick decoherence.
