Bilinear optimal control of a Schrodinger equation

被引：25

作者：

Cancès, E

Le Bris, C

Pilot, M

机构：

[1] Ecole Natl Ponts & Chaussees, Cermics, F-77455 Marne La Vallee, France

[2] Ecole Normale Super, F-75230 Paris 05, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 07期

关键词：

D O I：

10.1016/S0764-4442(00)00227-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study in this Note a bilinear optimal control problem for a Schrodinger equation with a nonlinearity of Hartree type, which models the behaviour of an atom subjected to an electric field. We show that the time-dependent equation is well posed and that there exists an optimal control. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：567 / 571

页数：5

共 9 条

[1]

Butkovskiy AG, 1990, MATH ITS APPL

[2] On the time-dependent Hartree-Fock equations coupled with a classical nuclear dynamics [J].