Scattering by an oscillating barrier: quantum, classical, and semiclassical comparison

We present a detailed study of scattering by an amplitude-modulated potential barrier using three distinct physical frameworks: quantum, classical, and semiclassical. Classical physics gives bounds on the energy and momentum of the scattered particle, while also providing the foundation for semiclas...

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Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: Byrd, Tommy A, Ivory, Megan K, Pyle, Andrew J, Aubin, Seth, Mitchell, Kevin A, Delos, John B, Das, Kunal K
Format: Article
Language:English
Subjects:
Momentum
Potential barriers
Scattering
Online Access:Get full text
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Summary:We present a detailed study of scattering by an amplitude-modulated potential barrier using three distinct physical frameworks: quantum, classical, and semiclassical. Classical physics gives bounds on the energy and momentum of the scattered particle, while also providing the foundation for semiclassical theory. We use the semiclassical approach to selectively add quantum-mechanical effects such as interference and diffraction. We find good agreement between the quantum and semiclassical momentum distributions. Our methods and results can be used to understand quantum and classical aspects of transport mechanisms involving time-varying potentials, such as quantum pumping.
ISSN:2331-8422
DOI:10.48550/arxiv.1205.1484