Relativistic electron wave packets featuring persistent quantum backflow

• URL: http://arxiv.org/abs/2112.13180v1
• Date: Sat, 25 Dec 2021 03:42:06 GMT
• Title: Relativistic electron wave packets featuring persistent quantum backflow
• Authors: Siddhant Das
• Abstract summary: relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide. The predicted backflow is stable in time and is manifest regardless of the initial wave function.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide, becoming spin-polarized in the nonrelativistic limit. The predicted backflow is stable in time and is manifest regardless of the initial wave function.

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