Related papers: Electron Wave Spin in a Quantum Well

Electron Wave Spin in a Quantum Well

URL: http://arxiv.org/abs/2203.09437v2
Date: Fri, 2 Sep 2022 09:38:37 GMT
Title: Electron Wave Spin in a Quantum Well
Authors: Ju Gao
Abstract summary: 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. A free electron Gaussian wavepacket is unstable and experiences quick decoherence.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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.

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