Approximate stabilization of a quantum particle in a 1D infinite square potential well

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dc.creatorBeauchard, Karine
dc.creatorMirrahimi, Mazyar
dc.date2008-01-10
dc.date.accessioned2026-07-07T08:53:37Z
dc.date.available2026-07-07T08:53:37Z
dc.descriptionWe consider a non relativistic charged particle in a 1-dimensional 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 Schrodinger equation on a 1-dimensional bounded domain, with Dirichlet boundary conditions. We prove the almost global approximate stabilization of the eigenstates by explicit feedback laws.
dc.description26 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0801.1522
dc.identifierhttp://arxiv.org/abs/0801.1522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145686
dc.subjectAnalysis of PDEs
dc.subject93c20, 35Q40, 93D15
dc.titleApproximate stabilization of a quantum particle in a 1D infinite square potential well
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