Deterministic Solution of the Discrete Wigner Equation

被引：5

作者：

Cervenka, Johann ^{[1
]}

Ellinghaus, Paul ^{[1
]}

Nedjalkov, Mihail ^{[1
]}

机构：

[1] TU Wien, Inst Microelect, Vienna, Austria

来源：

NUMERICAL METHODS AND APPLICATIONS (NMA 2014) | 2015年 / 8962卷

关键词：

Discrete Wigner equation; Integral formulation; TIME-DOMAIN;

D O I：

10.1007/978-3-319-15585-2_17

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The Wigner formalism provides a convenient formulation of quantum mechanics in the phase space. Deterministic solutions of the Wigner equation are especially needed for problems where phase space quantities vary over several orders of magnitude and thus can not be resolved by the existing stochastic approaches. However, finite difference schemes have been problematic due to the discretization of the diffusion term in this differential equation. A new approach, which uses an integral formulation of the Wigner equation that avoids the problematic differentiation, is shown here. The results of the deterministic method are compared and validated with solutions of the Schrodinger equation. Furthermore, certain numerical aspects pertaining to the demanded parallel implementation are discussed.

引用

页码：149 / 156

页数：8

共 8 条

[1]

Dimov I.T., 2008, Monte Carlo methods for applied scientists

[2] Electron wave-packet transport through nanoscale semiconductor device in time domain [J].