Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / Dmitry E. Pelinovsky.

Describes modern methods in the analysis of reduced models of Bose-Einstein condensation in periodic lattices.

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Bibliographic Details
Main Author:	Pelinovsky, Dmitry
Format:	eBook
Language:	English
Published:	Cambridge ; New York : Cambridge University Press, 2011.
Series:	London Mathematical Society lecture note series.
Subjects:	Schrödinger equation. Gross-Pitaevskii equations. Localization theory. MATHEMATICS > General. SCIENCE > Waves & Wave Mechanics. Gross-Pitaevskii equations Localization theory Schrödinger equation Lokalisationstheorie Nichtlineare Schrödinger-Gleichung Periodisches Potenzial Electronic book.
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Table of Contents:

Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; To Anna and my children: Albert and Edward, Marta and Polina; Contents; Preface; Formalism of the nonlinear Schrödinger equations; 1.1 Asymptotic multi-scale expansion methods; 1.1.1 The nonlinear Dirac equations; 1.1.2 The nonlinear Schrödinger equation; 1.1.3 The discrete nonlinear Schrödinger equation; 1.2 Hamiltonian structure and conserved quantities; 1.2.1 The coupled nonlinear Schrödinger equations; 1.2.2 The discrete nonlinear Schrödinger equation; 1.2.3 The nonlinear Dirac equations.

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