An operator splitting method for the Wigner-Poisson problem

被引：48
作者：
Arnold, A
Ringhofer, C
机构：
[1] TECH UNIV BERLIN, FACHBEREICH MATH, D-10623 BERLIN, GERMANY
[2] ARIZONA STATE UNIV, DEPT MATH, TEMPE, AZ 85287 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 04期
关键词：
operator splitting methods; Wigner functions;
D O I：
10.1137/S003614299223882X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Wigner-Poisson equation describes the quantum-mechanical motion of electrons in a self-consistent electrostatic field. The equation consists of a transport term and a non-linear pseudodifferential operator. In this paper we analyze an operator splitting method for the linear Wigner equation and the coupled Wigner-Poisson problem. For this semidiscretization in rime, consistency and nonlinear stability are established in an L(2)-framework. We present a numerical example to illustrate the method.
引用
收藏
页码：1622 / 1643
页数：22
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