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...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Series: | London Mathematical Society lecture note series ;
390. |
| Subjects: | |
| Online Access: | An electronic book accessible through the World Wide Web; click to view |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Add Tag MARC
| LEADER | 00000nam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ebr10514101 | ||
| 003 | CaPaEBR | ||
| 006 | m u | ||
| 007 | cr cn||||||||| | ||
| 008 | 110615s2011 enka sb 001 0 eng d | ||
| 010 | |z 2011025637 | ||
| 020 | |z 9781107621541 (pbk.) | ||
| 020 | |z 9781139157810 (e-book) | ||
| 040 | |a CaPaEBR |c CaPaEBR | ||
| 035 | |a (OCoLC)767579454 | ||
| 050 | 1 | 4 | |a QC174.26.W28 |b P45 2011eb |
| 082 | 0 | 4 | |a 530.12/4 |2 23 |
| 100 | 1 | |a Pelinovsky, Dmitry. | |
| 245 | 1 | 0 | |a Localization in periodic potentials |h [electronic resource] : |b from Schr�odinger operators to the Gross-Pitaevskii equation / |c Dmitry E. Pelinovsky. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a x, 398 p. : |b ill. | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 390 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a 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. | |
| 520 | |a "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 existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schr�odinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schr�odinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross-Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials"-- |c Provided by publisher. | ||
| 533 | |a Electronic reproduction. |b Palo Alto, Calif. : |c ebrary, |d 2013. |n Available via World Wide Web. |n Access may be limited to ebrary affiliated libraries. | ||
| 650 | 0 | |a Schr�odinger equation. | |
| 650 | 0 | |a Gross-Pitaevskii equations. | |
| 650 | 0 | |a Localization theory. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a ebrary, Inc. | |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 390. | |
| 856 | 4 | 0 | |u http://site.ebrary.com/lib/daystar/Doc?id=10514101 |z An electronic book accessible through the World Wide Web; click to view |
| 999 | |c 196592 |d 196592 | ||
The dirac equation and its solutions /