On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well

被引：26

作者：

Coron, JM

机构：

[1] Inst Univ France, F-91405 Orsay, France

[2] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 02期

关键词：

D O I：

10.1016/j.crma.2005.11.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a quantum charged particle in a one-dimensional infinite square potential well moving along a line. We control the acceleration of the potential well. The local controllability in large time of this nonlinear control system along the ground state trajectory has been proved recently. We prove that this local controllability does not hold in small time, even if the Schrodinger equation has an infinite speed of propagation. To cite this article: J.-M. Coron, C R. Acad. Sci. Paris, Ser. 1342 (2006). (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：103 / 108

页数：6

共 14 条

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