文档介绍：SEMI-CLASSICAL
ANALYSIS FOR
NONLINEAR
SCHRÖDINGER
EQUATIONS
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Remi Carles
CNRS &University of Montpellier 2,
France
SEMI-CLASSICAL
ANALYSIS FOR
NONLINEAR
SCHRÖDINGER
EQUATIONS
World Scientific
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SEMI-CLASSICAL ANALYSIS FOR NONLINEAR SCHRÖDINGER EQUATIONS
Copyright © 2008 by World Scientific Publishing Co. Pte. Ltd.
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ISBN-13 978-981-279-312-6
ISBN-10 981-279-312-7
Printed in Singapore.
Alvin - Semi-Classical 1 1/21/2008, 4:31 PM
January 28, 2008 17:0 World Scientific Book - 9in x 6in carles
Preface
These pages describe the semi-classical limit for nonlinear Schr¨odinger equa-
tions in the presence of an external potential. The motivation of this study
is two-fold. First, it is expected to provide interesting models for physics.
For instance, the nonlinear Schr¨odinger equation is mon model for
Bose–Einstein condensation. To describe the physical phenomenon, qual-
itative properties of the solutions of these equations may be helpf