Lyapunov control of a particle in a finite quantum potential well

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Abstract

A Lyapunov-based approach for the trajectory generation of a Schrödinger 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 of Strichartz type are widely used for the proof of the convergence result.

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3962-3966
Number of pages5
ISBN (Print)1424401712, 9781424401710
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 13 Dec 200615 Dec 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period13/12/0615/12/06

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