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Record Nr. |
UNINA9910781860403321 |
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Autore |
Pelinovsky Dmitry |
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Titolo |
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2011 |
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ISBN |
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1-107-23231-7 |
9786613342591 |
1-139-16162-8 |
1-139-15781-7 |
1-139-16062-1 |
1-283-34259-6 |
1-139-15605-5 |
1-139-15957-7 |
0-511-99775-2 |
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Descrizione fisica |
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1 online resource (x, 398 pages) : digital, PDF file(s) |
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Collana |
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London Mathematical Society lecture note series ; ; 390 |
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Classificazione |
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Disciplina |
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Soggetti |
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Schrödinger equation |
Gross-Pitaevskii equations |
Localization theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 existence and stability of localized modes. The mean- |
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