Localization in periodic potentials from Schr�odinger 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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Bibliografski detalji
Glavni autor: Pelinovsky, Dmitry
Autor kompanije: ebrary, Inc
Format: Elektronički e-knjiga
Jezik:engleski
Izdano: Cambridge ; New York : Cambridge University Press, 2011.
Serija:London Mathematical Society lecture note series ; 390.
Teme:
Online pristup:An electronic book accessible through the World Wide Web; click to view
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  • Machine generated contents note: Preface; 1. Formalism of the nonlinear Schr�odinger equations; 2. Justification of the nonlinear Schr�odinger 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.