VLSI Design

VLSI Design / 1999 / Article
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International Workshop on Quantum Theory

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Volume 9 |Article ID 030381 | https://doi.org/10.1155/1999/30381

Florian Frommlet, Peter A. Markowich, Christian Ringhofer, "A Wignerfunction Approach to Phonon Scattering", VLSI Design, vol. 9, Article ID 030381, 12 pages, 1999. https://doi.org/10.1155/1999/30381

A Wignerfunction Approach to Phonon Scattering

Received13 Aug 1997
Revised01 Dec 1998

Abstract

We consider the motion of a single electron under phonon scattering caused by a crystal lattice. Starting from the Fröhlich Hamiltonian in the second quantization formalism we derive a kinetic transport model by using the Wigner transformation. Under the assumption of small electron-phonon interaction we derive asymptotically the operator representing electron-phonon scattering in the Wigner equation. We then consider some scaling limits and finally we give the connection of our result to the well known Barker-Ferry equation.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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