Large quantum probability backflow and the azimuthal angle–angular momentum uncertainty relation for an electron in a constant magnetic field

Strange, Paul (2012) Large quantum probability backflow and the azimuthal angle–angular momentum uncertainty relation for an electron in a constant magnetic field. European Journal of Physics, 33 (5). pp. 1147-1154. ISSN 0143-0807 . (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1088/0143-0807/33/5/1147

Abstract

In this paper we demonstrate a surprising aspect of quantum mechanics that is accessible to an undergraduate student. We discuss probability backflow for an electron in a constant magnetic field. It is shown that even for a wavepacket composed entirely of states with negative angular momentum the effective angular momentum can take on positive values in some regions of space. This is also a demonstration of the azimuthal angle–angular momentum uncertainty relation. This example is chosen because the backflow motion persists indefinitely. However this work can easily be extended to other systems where the motion is notionally circular, such as the hydrogen atom.

Item Type: Article
Subjects: Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences
Depositing User: Paul Strange
Date Deposited: 05 Oct 2012 07:18
Last Modified: 16 Apr 2014 15:32
Resource URI: http://kar.kent.ac.uk/id/eprint/31277 (The current URI for this page, for reference purposes)
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