Rotating Gaussian wave packets in weak external potentials

Goussev, Arseni (2017) Rotating Gaussian wave packets in weak external potentials. Physical Review A (PRA), 96. 013617. ISSN 1050-2947

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Official URL: https://journals.aps.org/pra/pdf/10.1103/PhysRevA....

Abstract

We address the time evolution of two- and three-dimensional nonrelativistic Gaussian wave packets in the presence of a weak external potential of arbitrary functional form. The focus of our study is the phenomenon of rotation of a Gaussian wave packet around its center of mass, as quantified by mean angular momentum computed relative to the wave packet center. Using a semiclassical approximation of the eikonal type, we derive an explicit formula for a time-dependent change of mean angular momentum of a wave packet induced by its interaction with a weak external potential. As an example, we apply our analytical approach to the scenario of a two-dimensional quantum particle crossing a tilted ridge potential barrier. In particular, we demonstrate that the initial orientation of the particle wave packet determines the sense of its rotation, and report a good agreement between analytical and numerical results.

Item Type: Article
Subjects: F300 Physics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Ay Okpokam
Date Deposited: 04 May 2017 11:03
Last Modified: 16 Aug 2017 19:50
URI: http://nrl.northumbria.ac.uk/id/eprint/30655

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