Optimal control of the stationary quantum drift-diffusion model

被引：0

作者：

Unterreiter, A.

Volkwein, S.

机构：

[1] Tech Univ Berlin, Fak Math & Nat Wissensch 2, D-10623 Berlin, Germany

[2] Karl Franzens Univ Graz, Inst Math & Wissensch Rech, A-8010 Graz, Austria

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2007年 / 5卷 / 01期

关键词：

optimal control; quantum drift diffusion model; optimality conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work an optimal control problem for a stationary quantum drift diffusion (QDD) model is analyzed. This QDD model contains four space-dependent observables: The non-negative particle density of electrons, the electrostatic potential, the quantum quasi-Fermi potential and the current density. The goal is to optimize the shape of quantum barriers in a quantum diode. Existence of optimal solutions is proved. Moreover, first-order necessary optimality conditions are derived.

引用

页码：85 / 111

页数：27

共 19 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2] QUANTUM CORRECTION TO THE EQUATION OF STATE OF AN ELECTRON-GAS IN A SEMICONDUCTOR [J].