# Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 1, page 11-38
- ISSN: 1310-6600

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topFaraj, A.. "Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1." Serdica Mathematical Journal 35.1 (2010): 11-38. <http://eudml.org/doc/281532>.

@article{Faraj2010,

abstract = {2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.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.},

author = {Faraj, A.},

journal = {Serdica Mathematical Journal},

keywords = {Schrödinger-Poisson System; Asymptotic Analysis; Semi-Classical Analysis; Spectral Theory; Schrödinger-Poisson system; asymptotic analysis; semi-classical analysis; spectral theory},

language = {eng},

number = {1},

pages = {11-38},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1},

url = {http://eudml.org/doc/281532},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Faraj, A.

TI - Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1

JO - Serdica Mathematical Journal

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 35

IS - 1

SP - 11

EP - 38

AB - 2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.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.

LA - eng

KW - Schrödinger-Poisson System; Asymptotic Analysis; Semi-Classical Analysis; Spectral Theory; Schrödinger-Poisson system; asymptotic analysis; semi-classical analysis; spectral theory

UR - http://eudml.org/doc/281532

ER -

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