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Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation /

"This book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose-Einstein condensation as the starting point of analysis and addresses the e...

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Bibliographic Details
Main Author: Pelinovsky, Dmitry.
Format: Book
Published: Cambridge, UK ; New York : Cambridge University Press, 2011.
Series:London Mathematical Society lecture note series ; 390.
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Table of Contents:
  • Machine generated contents note: Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger equations; 3. Existence of localized modes in periodic potentials; 4. Stability of localized modes; 5. Traveling localized modes in lattices; Appendix A. Mathematical notations; Appendix B. Selected topics of applied analysis; References; Index.