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[null,"1.","Record Nr.",null,"UNINA9910813070103321"]
[null,null,"Autore",null,"Pelinovsky Dmitry"]
[null,null,"Titolo",null,"Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"Cambridge : , : Cambridge University Press, , 2011"]
[null,null,"ISBN",null,"1-107-23231-7"]
[{"$nulls":4},"9786613342591"]
[{"$nulls":4},"1-139-16162-8"]
[{"$nulls":4},"1-139-15781-7"]
[{"$nulls":4},"1-139-16062-1"]
[{"$nulls":4},"1-283-34259-6"]
[{"$nulls":4},"1-139-15605-5"]
[{"$nulls":4},"1-139-15957-7"]
[{"$nulls":4},"0-511-99775-2"]
[null,null,"Descrizione fisica",null,"1 online resource (x, 398 pages) : digital, PDF file(s)"]
[null,null,"Collana",null,"London Mathematical Society lecture note series ; ; 390"]
[null,null,"Classificazione",null,"MAT000000"]
[{"$nulls":4},"MAT 356f"]
[null,null,"Disciplina",null,"530.12/4"]
[null,null,"Soggetti",null,"Schrödinger equation"]
[{"$nulls":4},"Gross-Pitaevskii equations"]
[{"$nulls":4},"Localization theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Title from publisher's bibliographic system (viewed on 05 Oct 2015)."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"1. Formalism of the nonlinear Schrödinger equations -- 2. Justification of the nonlinear Schrödinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis."]
[null,null,null,"Sommario/riassunto","This book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose-Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger equations. One of the important features of such systems "]
[{"$nulls":4},"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."]