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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| Main Author: | |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2011.
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| Series: | London Mathematical Society lecture note series ;
390. |
| Subjects: | |
| Online Access: | An electronic book accessible through the World Wide Web; click to view |
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Table of Contents:
- 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.
The dirac equation and its solutions /