Localization in periodic potentials : from Schrödinger 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 existe...
Saved in:
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Series: | London Mathematical Society lecture note series ;
390. |
| Subjects: | |
| Physical Description: | x, 398 pages : illustrations ; 23 cm. |
| Format: | Book |
MARC
| LEADER | 00000nam a22000008a 4500 | ||
|---|---|---|---|
| 001 | in00004987898 | ||
| 003 | OCoLC | ||
| 005 | 20220616033429.0 | ||
| 008 | 110615s2011 enk b 001 0 eng | ||
| 010 | |a 2011025637 | ||
| 020 | |a 9781107621541 (pbk.) | ||
| 020 | |a 1107621542 (pbk.) | ||
| 035 | |a (CaEvSKY)sky239473898 | ||
| 035 | |a (OCoLC)727702109 | ||
| 040 | |a DLC |c DLC |d UtOrBLW | ||
| 042 | |a pcc | ||
| 049 | |a EEMO | ||
| 050 | 0 | 0 | |a QC174.26.W28 |b P45 2011 |
| 082 | 0 | 0 | |a 530.12/4 |2 23 |
| 100 | 1 | |a Pelinovsky, Dmitry. |0 http://id.loc.gov/authorities/names/n2007016418 | |
| 245 | 1 | 0 | |a Localization in periodic potentials : |b from Schrödinger operators to the Gross-Pitaevskii equation / |c Dmitry E. Pelinovsky. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 263 | |a 1110. | ||
| 300 | |a x, 398 pages : |b illustrations ; |c 23 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 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 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; 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 Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger 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. | ||
| 650 | 0 | |a Schrödinger equation. |0 http://id.loc.gov/authorities/subjects/sh85118495 | |
| 650 | 0 | |a Gross-Pitaevskii equations. |0 http://id.loc.gov/authorities/subjects/sh2008004351 | |
| 650 | 0 | |a Localization theory. |0 http://id.loc.gov/authorities/subjects/sh85077960 | |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 390. |0 http://id.loc.gov/authorities/names/n42015587 | |
| 907 | |y .b90839560 |b 210716 |c 111110 | ||
| 998 | |a rs |b 111110 |c m |d a |e - |f eng |g enk |h 0 |i 2 | ||
| 999 | f | f | |i 0c7b2c0c-c036-5941-a6b3-9da85fe2f850 |s bf79312d-8dc6-5cab-83e1-8372195fc237 |t 0 |
| 952 | f | f | |p Can Circulate |a Michigan State University-Library of Michigan |b Michigan State University |c MSU Remote Storage |d MSU Remote Storage |t 0 |e QC174.26.W28 P45 2011 |h Library of Congress classification |i Printed Material |m 31293007214616 |n 1 |