Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation /

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

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Pelinovsky, Dmitry
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 2011.
Series:London Mathematical Society lecture note series.
Subjects:
Schrödinger equation.
Gross-Pitaevskii equations.
Localization theory.
Équation de Schrödinger.
Équations de Gross-Pitaevskii.
Théorie de la localisation.
MATHEMATICS > General.
SCIENCE > Waves & Wave Mechanics.
Gross-Pitaevskii equations
Localization theory
Schrödinger equation
Lokalisationstheorie
Nichtlineare Schrödinger-Gleichung
Periodisches Potenzial
Online Access:Texto completo
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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