Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / Dmitry E. Pelinovsky.

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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 existen...

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Bibliographic Details
Uniform Title:	London Mathematical Society lecture note series ; 390.
Main Author:	Pelinovsky, Dmitry (Author)
Language:	English
Published:	Cambridge : Cambridge University Press, 2011.
Series:	London Mathematical Society lecture note series ; 390.
Subjects:	Schrödinger equation. Gross-Pitaevskii equations. Localization theory.
Online Access:	Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:	1 online resource (x, 398 pages) : digital, PDF file(s).
Format:	Electronic eBook

Contents:

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.