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On hybrid quantum–classical transport models

✍ Scribed by Naoufel Ben Abdallah; Shaoqiang Tang

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
213 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper contains a review on the coupling between classical models and quantum models for electron transport in semiconductors. Starting from the quantum analogue of the boundary value problem for the Vlasov equation, the coupling with the Boltzmann equation in the one‐dimensional stationary situation is reviewed for the stationary and time‐dependent problems. Then a numerical scheme based on the characteristics method is applied to the stationary hybrid model. Some mathematical properties of the scheme are proven and illustrated in some numerical experiments. Copyright © 2004 John Wiley & Sons, Ltd.

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