On a discrete model for quantum transport in semi-conductor devices

被引：4

作者：

Goudon, T ^{[1
]}

Lohrengel, S ^{[1
]}

机构：

[1] Univ Nice, Lab JA Dieudonne, UMR 6621, F-06108 Nice 02, France

来源：

TRANSPORT THEORY AND STATISTICAL PHYSICS | 2002年 / 31卷 / 4-6期

关键词：

Wigner equation; discrete velocity models; semi-classical limit; operator splitting methods;

D O I：

10.1081/TT-120015510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a semi-discretized version of the Wigner equation. The model fulfills the following fundamental requirements: it is well-posed in a natural functional framework; as the mesh size of the discretization goes to 0, the solutions converge (with spectral accuracy) to the solution of the continuous equation; it is consistent with the semi-classical limit. We also discuss an operator splitting implementation of this model.

引用

页码：471 / 490

页数：20

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