Localization in periodic potentials : from Schrodinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky.
"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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| Superior document: | London Mathematical Society lecture note series ; 390 |
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| Year of Publication: | 2011 |
| Language: | English |
| Series: | London Mathematical Society lecture note series ;
390. |
| Online Access: | |
| Physical Description: | x, 398 p. :; ill. |
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Table of Contents:
- Machine generated contents note: Preface; 1. Formalism of the nonlinear Schrodinger equations; 2. Justification of the nonlinear Schrodinger 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.