Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation

被引：14
|
作者：
Nedjalkov, M
Dimov, I
Rossi, F
Jacoboni, C
机构：
[1] UNIV MODENA,DIPARTIMENTO FIS,I-41100 MODENA,ITALY
[2] UNIV MODENA,IST NAZL FIS MAT,I-41100 MODENA,ITALY
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1996年 / 23卷 / 8-9期
关键词：
integral equations; Wigner function; Neumann expansion; convergency; Monte Carlo method;
D O I：
10.1016/0895-7177(96)00047-7
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The Wigner function provides a convenient description for single-particle quantum transport in space dependent systems, such as modern nanoelectronic devices. A Monte Carlo algorithm has been recently introduced for the solution of this integro-differential equation. However, when the potential applied to the system has different limits at + and -infinity, a convergence problem arises for the kernel of the integral part of the equation. In this paper, we discuss the rigorous mathematical aspects of the convergency of the solution of the Wigner equation and of the Neumann expansion on which the Monte Carlo algorithm is based.
引用
收藏
页码：159 / 166
页数：8
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