Lyapunov control of a particle in a finite quantum potential well

被引：1

作者：

Mirrahimi, Mazyar ^{[1
]}

机构：

[1] Ecole Mines, Ctr Automat & Syst, F-75272 Paris 06, France

来源：

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年

关键词：

D O I：

10.1109/CDC.2006.377356

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A Lyapunov-based approach for the trajectory generation of a Schrodinger equation is proposed. For the case of a quantum particle in a 3-dimensional finite potential well with an arbitrary shape the convergence is precisely analyzed. Similar assumptions to those formerly used for the finite dimensional configurations ensure the quasi-global approximate stabilization of the partial differential equation around an isolated eigenstate of the free system. Dispersive estimates or Strichartz type are widely used for the proof of the convergence result.

引用

页码：3962 / 3967

页数：6

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