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Paperback Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation Book

ISBN: 1107621542

ISBN13: 9781107621541

Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation

(Book #390 in the London Mathematical Society Lecture Note Series)

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Book Overview

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 Schr dinger equations, the nonlinear Dirac equations,...

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