Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2691

 Title: Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1 Authors: Faraj, A. Keywords: Schrödinger-Poisson SystemAsymptotic AnalysisSemi-Classical AnalysisSpectral Theory Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 35, No 1, (2010), 11p-38p Abstract: We consider the stationary one dimensional Schrödinger-Poisson system on a bounded interval with a background potential describing a quantum well. Using a partition function which forces the particles to remain in the quantum well, the limit h®0 in the nonlinear system leads to a uniquely solved nonlinear problem with concentrated particle density. It allows to conclude about the convergence of the solution. Description: 2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40. URI: http://hdl.handle.net/10525/2691 ISSN: 1310-6600 Appears in Collections: Volume 36, Number 1

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