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

Faraj, 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 -