@inproceedings{8aaa3203781740fdbd39f1c6a199134b,
title = "Approximate stabilization of a quantum particle in a 1D infinite potential well",
abstract = "We consider a non relativistic charged particle in a 1D infinite square potential well. This quantum system is subjected to a control, which is a uniform (in space) time depending electric field. It is represented by a complex probability amplitude, solution of a Sch{\"r}odinger equation on a 1D bounded domain, with Dirichlet boundary conditions. We prove the almost global approximate stabilization of the eigenstates by explicit feedback laws.",
keywords = "Asymptotic stabilization, Infinite-dimensional systems, Lyapunov methods",
author = "Karine Beauchard and Mazyar Mirrahimi",
year = "2008",
month = dec,
day = "1",
doi = "10.3182/20080706-5-KR-1001.2285",
language = "English",
isbn = "9783902661005",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
number = "1 PART 1",
booktitle = "Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC",
edition = "1 PART 1",
note = "17th World Congress, International Federation of Automatic Control, IFAC ; Conference date: 06-07-2008 Through 11-07-2008",
}