Related papers: Evanescent Electron Wave Spin

Evanescent Electron Wave Spin

URL: http://arxiv.org/abs/2309.17325v5
Date: Mon, 2 Sep 2024 06:41:36 GMT
Title: Evanescent Electron Wave Spin
Authors: Ju Gao, Fang Shen,
Abstract summary: This study demonstrates the existence of an evanescent electron wave outside both finite and infinite quantum wells. We show that this evanescent wave shares the spin characteristics of the wave confined within the well. Our findings suggest that the electron cannot be confined to a mathematical singularity and that quantum information, or quantum entropy, can leak through any confinement.
Score: 2.977255700811213
License: http://creativecommons.org/licenses/by/4.0/
Abstract: This study demonstrates the existence of an evanescent electron wave outside both finite and infinite quantum wells by solving the Dirac equation and ensuring the continuity of the spinor wavefunction at the boundaries. We show that this evanescent wave shares the spin characteristics of the wave confined within the well, as indicated by analytical expressions for the current density across all regions. Our findings suggest that the electron cannot be confined to a mathematical singularity and that quantum information, or quantum entropy, can leak through any confinement. These results emphasize that the electron wave, fully characterized by Lorentz-invariant charge and current densities, should be considered the true and sole entity of the electron.

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